Analysis of biodiversity data
Setup
SAD curves
We can obtain the Species Abundance Distribution for our samples To
use the library {sads}, and the example data on moth
abundance.
data(moths)
moths## [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [16] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
## [31] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2
## [46] 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3
## [61] 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4
## [76] 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6
## [91] 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8
## [106] 8 8 9 9 9 9 10 10 10 10 11 11 12 12 13
## [121] 13 13 13 13 14 14 15 15 15 15 16 16 16 17 17
## [136] 17 18 18 18 19 19 19 20 20 20 20 21 22 22 22
## [151] 23 23 23 24 25 25 25 26 27 28 28 28 29 29 32
## [166] 34 34 36 36 36 37 37 43 43 44 44 45 49 49 49
## [181] 51 51 51 51 52 53 54 54 57 58 58 60 60 60 61
## [196] 64 67 73 76 76 78 84 89 96 99 109 112 120 122 129
## [211] 135 141 148 149 151 154 177 181 187 190 199 211 221 226 235
## [226] 239 244 246 282 305 306 333 464 560 572 589 604 743 823 2349?mothsPreston plot
First, we are going to obtain the Preston plot, also known as octaves. This plot represents the number of species in classes of logarithm of abundances at base 2.
moths.oc <- octav(moths)
moths.oc## octave upper Freq
## 1 0 1 35
## 2 1 2 11
## 3 2 4 29
## 4 3 8 32
## 5 4 16 26
## 6 5 32 32
## 7 6 64 31
## 8 7 128 13
## 9 8 256 19
## 10 9 512 5
## 11 10 1024 6
## 12 11 2048 0
## 13 12 4096 1
## 14 13 8192 0plot(moths.oc)
Whittaker diagram
We can also obtain the Whittaker plot for our data. This is the rank-abundance diagram
# for the moths data
moths.rad <- rad(moths)
plot(moths.rad, ylab="Number of individuals")
Species Abundance Distributions: fitting curves
We are going to fit some curves to the rank abundance plot
# build the model
moths.ge <- fitsad(x=moths, sad="geom") # geometric distribution
moths.ls <- fitsad(x=moths, sad="ls") # log series distribution
moths.ln <- fitsad(x=moths, sad="lnorm") #log-normal distribution
# get rank abundance objects
moths.ge.rad <- radpred(moths.ge)
moths.ls.rad <- radpred(moths.ls)
moths.ln.rad <- radpred(moths.ln)
# Plot the curves
plot(moths.ln.rad)
plot(moths.ln.rad, xlab = "Rank", ylab = "Abundance", log = "y",
type = "l", col = "green", lty = 1, lwd = 6)
# We can superimpose the curve to the rank plot
plot(moths.rad)
lines(moths.ge.rad, col="red")
lines(moths.ls.rad, col="blue")
lines(moths.ln.rad, col="green")
legend("topright",c("Geometric", "Logseries", "lognormal"),lty=1, col=c("red", "blue", "green"))
## looking at the fits
logLik(moths.ge)## 'log Lik.' -1240.137 (df=1)logLik(moths.ls)## 'log Lik.' -1087.713 (df=1)logLik(moths.ln)## 'log Lik.' -1097.723 (df=2)Alpha diversity
Shannon index
Let us calculate Shannon index using example data from the power point
birds1 <- data.frame(Species = c('BlueTit', 'Robin', 'Magpie',
'GreatTit'),
Abundance = rep(9, 4))
birds1## Species Abundance
## 1 BlueTit 9
## 2 Robin 9
## 3 Magpie 9
## 4 GreatTit 9## now let us get the pi, ln(pi), N and S to calculate Shannon index
N <- sum(birds1$Abundance)
S <- nrow(birds1)
pi <- birds1$Abundance/N
lnpi <- log(pi)
H <- -sum(pi*lnpi)
H## [1] 1.386294Community structure: {vegan} package
vegdist() function allows calculating multiple community dissimilarity indices.
# 1. transpose the data
birds1.transpose <- as.data.frame(t(birds1[, -1]))
colnames(birds1.transpose) <- birds1$Species
birds1.transpose## BlueTit Robin Magpie GreatTit
## 1 9 9 9 9# Get diversity value
?diversity
H_vegan <- diversity(birds1.transpose, index = "shannon")
H_vegan## [1] 1.386294Properties of Diversity indices
Shannon diversity vs Hill numbers
If we have two communities with no species in common, the diversity of both together should be the sum of the diversities of each one
# We create a second community with no species in common with the first one
birds2 <- data.frame(Species = c('Sparrow', 'Dove', 'Crow'),
Abundance = c(4,5,20))
birds2 ## Species Abundance
## 1 Sparrow 4
## 2 Dove 5
## 3 Crow 20# the transpose matrix for the analysis
birds2.transpose <- as.data.frame(t(birds2[, -1]))
colnames(birds2.transpose) <- birds2$Species
birds2.transpose## Sparrow Dove Crow
## 1 4 5 20# Both communities in the same table
# transpose data and get sums
birds.both <- merge(birds1, birds2, by = 'Species', all = T)
birds.both$Abundance.x[is.na(birds.both$Abundance.x)] <- 0
birds.both$Abundance.y[is.na(birds.both$Abundance.y)] <- 0
birds.both## Species Abundance.x Abundance.y
## 1 BlueTit 9 0
## 2 Crow 0 20
## 3 Dove 0 5
## 4 GreatTit 9 0
## 5 Magpie 9 0
## 6 Robin 9 0
## 7 Sparrow 0 4birds.all <- rowSums(birds.both[,2:3])
birds.all## [1] 9 20 5 9 9 9 4both.trans <- as.data.frame(t(birds.both[, -1]))
colnames(both.trans) <- birds.both$Species
rownames(both.trans) <- c("birds1", "birds2")
both.trans## BlueTit Crow Dove GreatTit Magpie Robin Sparrow
## birds1 9 0 0 9 9 9 0
## birds2 0 20 5 0 0 0 4all.trans <- colSums(both.trans)
# shannon diversity for each sample and for the sum
H1 <- diversity(both.trans, index = "shannon")
H2 <- diversity(all.trans, index = "shannon")
H1## birds1 birds2
## 1.3862944 0.8325713H2## [1] 1.826586# Hill number order 1 (library iNEXT)
HN1.birds1 <- iNEXT(birds1$Abundance)
HN1.birds1$AsyEst## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 4 4.000000 0.0000000 4.000000 4.000000
## Shannon diversity 4 4.174206 0.1587823 3.862999 4.485414
## Simpson diversity 4 4.375000 0.2868939 3.812698 4.937302HN1.birds2 <- iNEXT(birds2$Abundance)
HN1.birds2$AsyEst## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 3.000000 3.000000 0.1859923 2.635462 3.364538
## Shannon diversity 2.299223 2.383059 0.3079861 1.779418 2.986701
## Simpson diversity 1.907029 1.970874 0.3529313 1.279141 2.662607HN1.birdsboth <- iNEXT(birds.all)
HN1.birdsboth$AsyEst## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Species Richness 7.000000 7.000000 0.1493947 6.707192 7.292808
## Shannon diversity 6.212639 6.513826 0.3465891 5.834524 7.193129
## Simpson diversity 5.522876 5.942857 0.5924830 4.781612 7.104102Hill Numbers
Get the Hill Number with q = 0 (Species richness)
Load data from the library about spider samples in two locations
data(spider)
str(spider)## List of 2
## $ Girdled: num [1:26] 46 22 17 15 15 9 8 6 6 4 ...
## $ Logged : num [1:37] 88 22 16 15 13 10 8 8 7 7 ...?spiderexample1 <- iNEXT(spider, q = 0, datatype = "abundance")
example1$DataInfo## Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1 Girdled 168 26 0.9289 12 4 0 1 0 2 0 1 1 0
## 2 Logged 252 37 0.9446 14 4 4 3 1 0 3 2 0 1#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
example1$iNextEst## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 10 Rarefaction 0 6.478617 5.996559 6.960675 0.5969308
## 3 Girdled 19 Rarefaction 0 9.450323 8.546105 10.354540 0.7380651
## 4 Girdled 28 Rarefaction 0 11.514220 10.228104 12.800335 0.8034337
## 5 Girdled 37 Rarefaction 0 13.126817 11.485374 14.768261 0.8389628
## 6 Girdled 47 Rarefaction 0 14.622424 12.611554 16.633294 0.8623491
## 7 Girdled 56 Rarefaction 0 15.802849 13.477385 18.128312 0.8760357
## 8 Girdled 65 Rarefaction 0 16.877170 14.250931 19.503409 0.8858194
## 9 Girdled 74 Rarefaction 0 17.873934 14.958813 20.789055 0.8931774
## 10 Girdled 84 Rarefaction 0 18.912360 15.688432 22.136287 0.8995141
## 11 Girdled 93 Rarefaction 0 19.797701 16.305365 23.290037 0.9041168
## 12 Girdled 102 Rarefaction 0 20.644613 16.891559 24.397666 0.9080200
## 13 Girdled 111 Rarefaction 0 21.458439 17.451104 25.465773 0.9114464
## 14 Girdled 120 Rarefaction 0 22.242813 17.986409 26.499218 0.9145496
## 15 Girdled 130 Rarefaction 0 23.082755 18.554265 27.611245 0.9177469
## 16 Girdled 139 Rarefaction 0 23.812028 19.041584 28.582471 0.9204781
## 17 Girdled 148 Rarefaction 0 24.517097 19.506291 29.527903 0.9231226
## 18 Girdled 157 Rarefaction 0 25.198592 19.947893 30.449292 0.9257162
## 19 Girdled 167 Rarefaction 0 25.928571 20.410521 31.446622 0.9285714
## 20 Girdled 168 Observed 0 26.000000 20.455112 31.544888 0.9288554
## 21 Girdled 169 Extrapolation 0 26.071145 20.499394 31.642895 0.9291383
## 22 Girdled 177 Extrapolation 0 26.630211 20.842592 32.417830 0.9313612
## 23 Girdled 186 Extrapolation 0 27.238226 21.205531 33.270920 0.9337788
## 24 Girdled 195 Extrapolation 0 27.824825 21.544535 34.105114 0.9361112
## 25 Girdled 204 Extrapolation 0 28.390763 21.860296 34.921230 0.9383615
## 26 Girdled 212 Extrapolation 0 28.877064 22.122076 35.632051 0.9402951
## 27 Girdled 221 Extrapolation 0 29.405941 22.396060 36.415821 0.9423979
## 28 Girdled 230 Extrapolation 0 29.916190 22.649138 37.183242 0.9444268
## 29 Girdled 239 Extrapolation 0 30.408468 22.882183 37.934752 0.9463841
## 30 Girdled 248 Extrapolation 0 30.883406 23.096079 38.670734 0.9482726
## 31 Girdled 256 Extrapolation 0 31.291513 23.270846 39.312180 0.9498953
## 32 Girdled 265 Extrapolation 0 31.735349 23.450968 40.019730 0.9516600
## 33 Girdled 274 Extrapolation 0 32.163554 23.614458 40.712650 0.9533626
## 34 Girdled 283 Extrapolation 0 32.576676 23.762149 41.391204 0.9550052
## 35 Girdled 292 Extrapolation 0 32.975248 23.894852 42.055644 0.9565900
## 36 Girdled 300 Extrapolation 0 33.317733 24.000860 42.634605 0.9579518
## 37 Girdled 309 Extrapolation 0 33.690203 24.107361 43.273045 0.9594328
## 38 Girdled 318 Extrapolation 0 34.049555 24.201049 43.898061 0.9608616
## 39 Girdled 327 Extrapolation 0 34.396250 24.282613 44.509886 0.9622401
## 40 Girdled 336 Extrapolation 0 34.730733 24.352715 45.108752 0.9635701
## 41 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 14 Rarefaction 0 8.353329 7.759964 8.946695 0.5883461
## 43 Logged 28 Rarefaction 0 13.222439 12.167966 14.276913 0.7118410
## 44 Logged 42 Rarefaction 0 16.765525 15.296838 18.234213 0.7809656
## 45 Logged 56 Rarefaction 0 19.532844 17.706318 21.359371 0.8236635
## 46 Logged 70 Rarefaction 0 21.804004 19.669338 23.938670 0.8521804
## 47 Logged 84 Rarefaction 0 23.734513 21.329525 26.139501 0.8724155
## 48 Logged 98 Rarefaction 0 25.418159 22.770323 28.065996 0.8874459
## 49 Logged 112 Rarefaction 0 26.915447 24.044550 29.786343 0.8990090
## 50 Logged 126 Rarefaction 0 28.267510 25.187763 31.347256 0.9081562
## 51 Logged 139 Rarefaction 0 29.418556 26.153910 32.683203 0.9150769
## 52 Logged 153 Rarefaction 0 30.565961 27.108743 34.023179 0.9212585
## 53 Logged 167 Rarefaction 0 31.633749 27.988010 35.279488 0.9264196
## 54 Logged 181 Rarefaction 0 32.634744 28.802152 36.467335 0.9307716
## 55 Logged 195 Rarefaction 0 33.579251 29.559474 37.599027 0.9344627
## 56 Logged 209 Rarefaction 0 34.475787 30.266855 38.684719 0.9376004
## 57 Logged 223 Rarefaction 0 35.331544 30.930193 39.732894 0.9402668
## 58 Logged 237 Rarefaction 0 36.152671 31.554676 40.750665 0.9425289
## 59 Logged 251 Rarefaction 0 36.944444 32.144918 41.743971 0.9444444
## 60 Logged 252 Observed 0 37.000000 32.185879 41.814121 0.9445706
## 61 Logged 253 Extrapolation 0 37.055429 32.226687 41.884172 0.9446965
## 62 Logged 266 Extrapolation 0 37.764657 32.743187 42.786128 0.9463075
## 63 Logged 279 Extrapolation 0 38.453226 33.233653 43.672798 0.9478715
## 64 Logged 292 Extrapolation 0 39.121736 33.698135 44.545337 0.9493900
## 65 Logged 305 Extrapolation 0 39.770774 34.136812 45.404735 0.9508643
## 66 Logged 319 Extrapolation 0 40.448609 34.580730 46.316488 0.9524039
## 67 Logged 332 Extrapolation 0 41.058995 34.966931 47.151059 0.9537904
## 68 Logged 345 Extrapolation 0 41.651601 35.328637 47.974565 0.9551365
## 69 Logged 358 Extrapolation 0 42.226944 35.666476 48.787413 0.9564433
## 70 Logged 371 Extrapolation 0 42.785528 35.981146 49.589910 0.9577121
## 71 Logged 385 Extrapolation 0 43.368897 36.294977 50.442816 0.9590372
## 72 Logged 398 Extrapolation 0 43.894216 36.563984 51.224448 0.9602304
## 73 Logged 411 Extrapolation 0 44.404233 36.812254 51.996212 0.9613889
## 74 Logged 424 Extrapolation 0 44.899393 37.040623 52.758163 0.9625136
## 75 Logged 437 Extrapolation 0 45.380130 37.249931 53.510329 0.9636056
## 76 Logged 451 Extrapolation 0 45.882197 37.454978 54.309416 0.9647460
## 77 Logged 464 Extrapolation 0 46.334305 37.627349 55.041261 0.9657729
## 78 Logged 477 Extrapolation 0 46.773243 37.783183 55.763303 0.9667699
## 79 Logged 490 Extrapolation 0 47.199395 37.923265 56.475526 0.9677379
## 80 Logged 504 Extrapolation 0 47.644456 38.057377 57.231535 0.9687488
## SC.LCL SC.UCL
## 1 0.0898503 0.1548033
## 2 0.5429426 0.6509191
## 3 0.6897089 0.7864213
## 4 0.7589898 0.8478777
## 5 0.7975067 0.8804189
## 6 0.8232294 0.9014689
## 7 0.8384997 0.9135718
## 8 0.8495720 0.9220667
## 9 0.8579884 0.9283665
## 10 0.8652545 0.9337736
## 11 0.8704860 0.9377475
## 12 0.8748373 0.9412027
## 13 0.8785482 0.9443446
## 14 0.8817890 0.9473103
## 15 0.8849834 0.9505104
## 16 0.8875832 0.9533730
## 17 0.8899816 0.9562637
## 18 0.8922183 0.9592141
## 19 0.8945492 0.9625937
## 20 0.8947794 0.9629315
## 21 0.8950088 0.9632679
## 22 0.8968189 0.9659036
## 23 0.8988133 0.9687443
## 24 0.9007751 0.9714473
## 25 0.9027118 0.9740111
## 26 0.9044157 0.9761744
## 27 0.9063146 0.9784813
## 28 0.9081948 0.9806588
## 29 0.9100559 0.9827124
## 30 0.9118969 0.9846483
## 31 0.9135154 0.9862751
## 32 0.9153148 0.9880052
## 33 0.9170900 0.9896352
## 34 0.9188398 0.9911707
## 35 0.9205628 0.9926173
## 36 0.9220709 0.9938327
## 37 0.9237402 0.9951254
## 38 0.9253799 0.9963434
## 39 0.9269891 0.9974912
## 40 0.9285673 0.9985728
## 41 0.1066613 0.1823415
## 42 0.5486415 0.6280507
## 43 0.6758290 0.7478530
## 44 0.7498431 0.8120880
## 45 0.7967810 0.8505460
## 46 0.8283294 0.8760314
## 47 0.8505977 0.8942334
## 48 0.8669827 0.9079090
## 49 0.8794420 0.9185759
## 50 0.8891434 0.9271690
## 51 0.8963252 0.9338287
## 52 0.9025541 0.9399629
## 53 0.9075601 0.9452791
## 54 0.9115985 0.9499447
## 55 0.9148613 0.9540642
## 56 0.9174949 0.9577059
## 57 0.9196130 0.9609206
## 58 0.9213053 0.9637524
## 59 0.9226438 0.9662451
## 60 0.9227286 0.9664126
## 61 0.9228130 0.9665800
## 62 0.9238803 0.9687348
## 63 0.9249051 0.9708380
## 64 0.9259028 0.9728773
## 65 0.9268839 0.9748447
## 66 0.9279303 0.9768776
## 67 0.9288975 0.9786833
## 68 0.9298635 0.9804094
## 69 0.9308299 0.9820567
## 70 0.9317976 0.9836266
## 71 0.9328413 0.9852331
## 72 0.9338115 0.9866493
## 73 0.9347822 0.9879956
## 74 0.9357525 0.9892747
## 75 0.9367217 0.9904894
## 76 0.9377630 0.9917289
## 77 0.9387267 0.9928191
## 78 0.9396864 0.9938535
## 79 0.9406410 0.9948348
## 80 0.9416625 0.9958352
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.8658141
## 2 Girdled 0.5969305 10 Rarefaction 0 6.478611 5.0180001
## 3 Girdled 0.7380650 19 Rarefaction 0 9.450319 7.1665815
## 4 Girdled 0.8034337 28 Rarefaction 0 11.514219 8.3778049
## 5 Girdled 0.8389628 37 Rarefaction 0 13.126816 9.1371208
## 6 Girdled 0.8623492 47 Rarefaction 0 14.622425 9.7769474
## 7 Girdled 0.8760358 56 Rarefaction 0 15.802851 10.2954513
## 8 Girdled 0.8858194 65 Rarefaction 0 16.877170 10.7950049
## 9 Girdled 0.8931774 74 Rarefaction 0 17.873934 11.2772973
## 10 Girdled 0.8995141 84 Rarefaction 0 18.912361 11.7778834
## 11 Girdled 0.9041168 93 Rarefaction 0 19.797701 12.1646902
## 12 Girdled 0.9080200 102 Rarefaction 0 20.644611 12.4861369
## 13 Girdled 0.9114464 111 Rarefaction 0 21.458439 12.8050464
## 14 Girdled 0.9145496 120 Rarefaction 0 22.242813 13.1215943
## 15 Girdled 0.9177469 130 Rarefaction 0 23.082756 13.4359347
## 16 Girdled 0.9204781 139 Rarefaction 0 23.812027 13.5935436
## 17 Girdled 0.9231226 148 Rarefaction 0 24.517096 13.6997083
## 18 Girdled 0.9257162 157 Rarefaction 0 25.198591 13.7593405
## 19 Girdled 0.9285714 166 Rarefaction 0 25.867399 13.7129204
## 20 Girdled 0.9288554 168 Observed 0 26.000000 13.7672706
## 21 Girdled 0.9291383 169 Extrapolation 0 26.071145 13.7649359
## 22 Girdled 0.9313612 177 Extrapolation 0 26.630211 13.7396539
## 23 Girdled 0.9337788 186 Extrapolation 0 27.238226 13.7005697
## 24 Girdled 0.9361112 195 Extrapolation 0 27.824825 13.6501917
## 25 Girdled 0.9383615 204 Extrapolation 0 28.390763 13.5842542
## 26 Girdled 0.9402951 212 Extrapolation 0 28.877064 13.5163987
## 27 Girdled 0.9423979 221 Extrapolation 0 29.405941 13.4344031
## 28 Girdled 0.9444268 230 Extrapolation 0 29.916190 13.3468347
## 29 Girdled 0.9463841 239 Extrapolation 0 30.408468 13.2562973
## 30 Girdled 0.9482726 248 Extrapolation 0 30.883406 13.1684711
## 31 Girdled 0.9498953 256 Extrapolation 0 31.291513 13.0848666
## 32 Girdled 0.9516600 265 Extrapolation 0 31.735349 12.9873037
## 33 Girdled 0.9533626 274 Extrapolation 0 32.163554 12.8857873
## 34 Girdled 0.9550052 283 Extrapolation 0 32.576676 12.7803177
## 35 Girdled 0.9565900 292 Extrapolation 0 32.975248 12.6719581
## 36 Girdled 0.9579518 300 Extrapolation 0 33.317733 12.5739800
## 37 Girdled 0.9594328 309 Extrapolation 0 33.690203 12.4627322
## 38 Girdled 0.9608616 318 Extrapolation 0 34.049555 12.3512772
## 39 Girdled 0.9622401 327 Extrapolation 0 34.396250 12.2402135
## 40 Girdled 0.9635701 336 Extrapolation 0 34.730733 12.1300613
## 41 Logged 0.1445014 1 Rarefaction 0 1.000000 0.8418022
## 42 Logged 0.5883460 14 Rarefaction 0 8.353325 6.5741749
## 43 Logged 0.7118410 28 Rarefaction 0 13.222439 10.7760292
## 44 Logged 0.7809655 42 Rarefaction 0 16.765522 13.7531817
## 45 Logged 0.8236635 56 Rarefaction 0 19.532847 16.0362369
## 46 Logged 0.8521804 70 Rarefaction 0 21.804005 17.8646885
## 47 Logged 0.8724155 84 Rarefaction 0 23.734512 19.3678599
## 48 Logged 0.8874459 98 Rarefaction 0 25.418157 20.6283273
## 49 Logged 0.8990090 112 Rarefaction 0 26.915446 21.6905316
## 50 Logged 0.9081562 126 Rarefaction 0 28.267511 22.5517043
## 51 Logged 0.9150769 139 Rarefaction 0 29.418557 23.1345620
## 52 Logged 0.9212585 153 Rarefaction 0 30.565959 23.5259582
## 53 Logged 0.9264196 167 Rarefaction 0 31.633750 23.5924770
## 54 Logged 0.9307716 181 Rarefaction 0 32.634745 23.3844325
## 55 Logged 0.9344627 195 Rarefaction 0 33.579250 23.0807550
## 56 Logged 0.9376004 209 Rarefaction 0 34.475786 22.7717083
## 57 Logged 0.9402668 223 Rarefaction 0 35.331543 22.5211053
## 58 Logged 0.9425289 237 Rarefaction 0 36.152671 22.3670043
## 59 Logged 0.9444444 250 Rarefaction 0 36.892629 22.2676931
## 60 Logged 0.9445706 252 Observed 0 37.000000 22.3200850
## 61 Logged 0.9446965 253 Extrapolation 0 37.055429 22.3178763
## 62 Logged 0.9463075 266 Extrapolation 0 37.764657 22.3144064
## 63 Logged 0.9478715 279 Extrapolation 0 38.453226 22.3106448
## 64 Logged 0.9493900 292 Extrapolation 0 39.121736 22.3074725
## 65 Logged 0.9508643 305 Extrapolation 0 39.770774 22.3001595
## 66 Logged 0.9524039 319 Extrapolation 0 40.448609 22.2855022
## 67 Logged 0.9537904 332 Extrapolation 0 41.058995 22.2794974
## 68 Logged 0.9551365 345 Extrapolation 0 41.651601 22.2673886
## 69 Logged 0.9564433 358 Extrapolation 0 42.226944 22.2482306
## 70 Logged 0.9577121 371 Extrapolation 0 42.785528 22.2432838
## 71 Logged 0.9590372 385 Extrapolation 0 43.368897 22.2271583
## 72 Logged 0.9602304 398 Extrapolation 0 43.894216 22.2104082
## 73 Logged 0.9613889 411 Extrapolation 0 44.404233 22.1952078
## 74 Logged 0.9625136 424 Extrapolation 0 44.899393 22.1759901
## 75 Logged 0.9636056 437 Extrapolation 0 45.380130 22.1546187
## 76 Logged 0.9647460 451 Extrapolation 0 45.882197 22.1299084
## 77 Logged 0.9657729 464 Extrapolation 0 46.334305 22.1061566
## 78 Logged 0.9667699 477 Extrapolation 0 46.773243 22.0824846
## 79 Logged 0.9677379 490 Extrapolation 0 47.199395 22.0603695
## 80 Logged 0.9687488 504 Extrapolation 0 47.644456 22.0414883
## qD.UCL
## 1 1.134186
## 2 7.939223
## 3 11.734056
## 4 14.650633
## 5 17.116511
## 6 19.467903
## 7 21.310250
## 8 22.959334
## 9 24.470571
## 10 26.046839
## 11 27.430712
## 12 28.803085
## 13 30.111831
## 14 31.364033
## 15 32.729578
## 16 34.030510
## 17 35.334483
## 18 36.637841
## 19 38.021878
## 20 38.232729
## 21 38.377353
## 22 39.520769
## 23 40.775882
## 24 41.999458
## 25 43.197272
## 26 44.237728
## 27 45.377478
## 28 46.485545
## 29 47.560638
## 30 48.598342
## 31 49.498159
## 32 50.483395
## 33 51.441320
## 34 52.373034
## 35 53.278537
## 36 54.061486
## 37 54.917675
## 38 55.747833
## 39 56.552286
## 40 57.331406
## 41 1.158198
## 42 10.132475
## 43 15.668850
## 44 19.777862
## 45 23.029457
## 46 25.743322
## 47 28.101164
## 48 30.207987
## 49 32.140360
## 50 33.983317
## 51 35.702552
## 52 37.605959
## 53 39.675023
## 54 41.885057
## 55 44.077745
## 56 46.179863
## 57 48.141981
## 58 49.938337
## 59 51.517564
## 60 51.679915
## 61 51.792982
## 62 53.214908
## 63 54.595807
## 64 55.936000
## 65 57.241388
## 66 58.611716
## 67 59.838493
## 68 61.035813
## 69 62.205658
## 70 63.327772
## 71 64.510635
## 72 65.578024
## 73 66.613258
## 74 67.622797
## 75 68.605641
## 76 69.634486
## 77 70.562453
## 78 71.464002
## 79 72.338421
## 80 73.247424# show asymptotic estimates
example1$AsyEst## Assemblage Diversity Observed Estimator s.e. LCL
## 1 Girdled Species richness 26.000000 43.892857 17.6719353 26.000000
## 2 Girdled Shannon diversity 12.059650 13.826253 1.3016935 11.274981
## 3 Girdled Simpson diversity 7.840000 8.174825 0.9256366 6.360611
## 4 Logged Species richness 37.000000 61.402778 33.0109303 37.000000
## 5 Logged Shannon diversity 14.421002 16.337069 1.6484368 13.106192
## 6 Logged Simpson diversity 6.761499 6.920350 0.8827191 5.190252
## UCL
## 1 78.529214
## 2 16.377526
## 3 9.989039
## 4 126.103012
## 5 19.567945
## 6 8.650448Rarefaction/extrapolation
Get new values
We can specify the sample size for which we want to rarefy/extrapolate For Species richness, the extrapolation is reliable up to double the reference sample. For q = 1 or 2, the extrapolation can be extended to the asymptote.
We run the code simultaneously for the three Hill numbers:
# We define the number of samples size that we want to use for estimation
m <- c(1, 50, 100, 200, 400)
example2 <- iNEXT(spider, q = c(0,1,2), datatype = "abundance", size = m)
example2$iNextEst ## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL SC
## 1 Girdled 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1223268
## 2 Girdled 50 Rarefaction 0 15.030098 13.145811 16.914385 0.8674807
## 3 Girdled 100 Rarefaction 0 20.459426 17.267066 23.651786 0.9072004
## 4 Girdled 167 Rarefaction 0 25.928571 20.996687 30.860456 0.9285714
## 5 Girdled 168 Observed 0 26.000000 21.040217 30.959783 0.9288554
## 6 Girdled 169 Extrapolation 0 26.071145 21.083402 31.058887 0.9291383
## 7 Girdled 200 Extrapolation 0 28.141739 22.258121 34.025356 0.9373713
## 8 Girdled 400 Extrapolation 0 36.792837 24.390282 49.195392 0.9717693
## 9 Girdled 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1223268
## 10 Girdled 50 Rarefaction 1 9.939329 8.475548 11.403110 0.8674807
## 11 Girdled 100 Rarefaction 1 11.266546 9.445495 13.087598 0.9072004
## 12 Girdled 167 Rarefaction 1 12.051422 10.001789 14.101056 0.9285714
## 13 Girdled 168 Observed 1 12.059650 10.007544 14.111757 0.9288554
## 14 Girdled 169 Extrapolation 1 12.067840 10.013270 14.122411 0.9291383
## 15 Girdled 200 Extrapolation 1 12.303742 10.177349 14.430134 0.9373713
## 16 Girdled 400 Extrapolation 1 13.225154 10.788599 15.661709 0.9717693
## 17 Girdled 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1223268
## 18 Girdled 50 Rarefaction 2 7.148973 5.743114 8.554831 0.8674807
## 19 Girdled 100 Rarefaction 2 7.627561 6.022757 9.232365 0.9072004
## 20 Girdled 167 Rarefaction 2 7.838078 6.141802 9.534353 0.9285714
## 21 Girdled 168 Observed 2 7.840000 6.142878 9.537122 0.9288554
## 22 Girdled 169 Extrapolation 2 7.841901 6.143941 9.539860 0.9291383
## 23 Girdled 200 Extrapolation 2 7.891717 6.171746 9.611687 0.9373713
## 24 Girdled 400 Extrapolation 2 8.030777 6.248644 9.812910 0.9717693
## 25 Logged 1 Rarefaction 0 1.000000 1.000000 1.000000 0.1445014
## 26 Logged 50 Rarefaction 0 18.420022 16.699145 20.140898 0.8076088
## 27 Logged 100 Rarefaction 0 25.642342 22.555552 28.729131 0.8892800
## 28 Logged 200 Rarefaction 0 33.904551 28.760886 39.048215 0.9356422
## 29 Logged 251 Rarefaction 0 36.944444 30.946273 42.942616 0.9444444
## 30 Logged 252 Observed 0 37.000000 30.985778 43.014222 0.9445706
## 31 Logged 253 Extrapolation 0 37.055429 31.025177 43.085682 0.9446965
## 32 Logged 400 Extrapolation 0 43.973665 35.649771 52.297559 0.9604109
## 33 Logged 1 Rarefaction 1 1.000000 1.000000 1.000000 0.1445014
## 34 Logged 50 Rarefaction 1 10.747324 9.195793 12.298856 0.8076088
## 35 Logged 100 Rarefaction 1 12.648884 10.637790 14.659978 0.8892800
## 36 Logged 200 Rarefaction 1 14.053826 11.668419 16.439233 0.9356422
## 37 Logged 251 Rarefaction 1 14.415055 11.931129 16.898981 0.9444444
## 38 Logged 252 Observed 1 14.421002 11.935462 16.906541 0.9445706
## 39 Logged 253 Extrapolation 1 14.426930 11.939783 16.914077 0.9446965
## 40 Logged 400 Extrapolation 1 15.125810 12.453725 17.797895 0.9604109
## 41 Logged 1 Rarefaction 2 1.000000 1.000000 1.000000 0.1445014
## 42 Logged 50 Rarefaction 2 6.187685 4.963217 7.412153 0.8076088
## 43 Logged 100 Rarefaction 2 6.533542 5.148096 7.918987 0.8892800
## 44 Logged 200 Rarefaction 2 6.721385 5.243874 8.198896 0.9356422
## 45 Logged 251 Rarefaction 2 6.760881 5.263591 8.258170 0.9444444
## 46 Logged 252 Observed 2 6.761499 5.263899 8.259099 0.9445706
## 47 Logged 253 Extrapolation 2 6.762113 5.264204 8.260021 0.9446965
## 48 Logged 400 Extrapolation 2 6.819417 5.292543 8.346291 0.9604109
## SC.LCL SC.UCL
## 1 0.08912297 0.1555306
## 2 0.83451738 0.9004439
## 3 0.87755788 0.9368429
## 4 0.89414339 0.9629995
## 5 0.89436676 0.9633441
## 6 0.89458920 0.9636874
## 7 0.90112556 0.9736170
## 8 0.93476337 1.0000000
## 9 0.08912297 0.1555306
## 10 0.83451738 0.9004439
## 11 0.87755788 0.9368429
## 12 0.89414339 0.9629995
## 13 0.89436676 0.9633441
## 14 0.89458920 0.9636874
## 15 0.90112556 0.9736170
## 16 0.93476337 1.0000000
## 17 0.08912297 0.1555306
## 18 0.83451738 0.9004439
## 19 0.87755788 0.9368429
## 20 0.89414339 0.9629995
## 21 0.89436676 0.9633441
## 22 0.89458920 0.9636874
## 23 0.90112556 0.9736170
## 24 0.93476337 1.0000000
## 25 0.11304645 0.1759563
## 26 0.77312522 0.8420924
## 27 0.86149340 0.9170666
## 28 0.91350900 0.9577754
## 29 0.92274601 0.9661429
## 30 0.92286859 0.9662727
## 31 0.92299062 0.9664025
## 32 0.93825948 0.9825623
## 33 0.11304645 0.1759563
## 34 0.77312522 0.8420924
## 35 0.86149340 0.9170666
## 36 0.91350900 0.9577754
## 37 0.92274601 0.9661429
## 38 0.92286859 0.9662727
## 39 0.92299062 0.9664025
## 40 0.93825948 0.9825623
## 41 0.11304645 0.1759563
## 42 0.77312522 0.8420924
## 43 0.86149340 0.9170666
## 44 0.91350900 0.9577754
## 45 0.92274601 0.9661429
## 46 0.92286859 0.9662727
## 47 0.92299062 0.9664025
## 48 0.93825948 0.9825623
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 Girdled 0.1223268 1 Rarefaction 0 1.000000 0.8988292
## 2 Girdled 0.8674806 50 Rarefaction 0 15.030097 11.0273338
## 3 Girdled 0.9072004 100 Rarefaction 0 20.459428 11.4212973
## 4 Girdled 0.9285714 166 Rarefaction 0 25.867399 9.2265247
## 5 Girdled 0.9288554 168 Observed 0 26.000000 9.2477055
## 6 Girdled 0.9291383 169 Extrapolation 0 26.071145 9.2036724
## 7 Girdled 0.9373713 200 Extrapolation 0 28.141739 7.9861150
## 8 Girdled 0.9717693 400 Extrapolation 0 36.792837 1.7303181
## 9 Girdled 0.1223268 1 Rarefaction 1 1.000000 0.9028344
## 10 Girdled 0.8674806 50 Rarefaction 1 9.939329 7.9701087
## 11 Girdled 0.9072004 100 Rarefaction 1 11.266547 8.9220011
## 12 Girdled 0.9285714 166 Rarefaction 1 12.044343 9.4930620
## 13 Girdled 0.9288554 168 Observed 1 12.059650 9.5056941
## 14 Girdled 0.9291383 169 Extrapolation 1 12.067840 9.5095508
## 15 Girdled 0.9373713 200 Extrapolation 1 12.303742 9.6613917
## 16 Girdled 0.9717693 400 Extrapolation 1 13.225154 10.3453166
## 17 Girdled 0.1223268 1 Rarefaction 2 1.000000 0.9084509
## 18 Girdled 0.8674806 50 Rarefaction 2 7.148972 5.6533711
## 19 Girdled 0.9072004 100 Rarefaction 2 7.627561 5.9838945
## 20 Girdled 0.9285714 166 Rarefaction 2 7.836419 6.1205895
## 21 Girdled 0.9288554 168 Observed 2 7.840000 6.1231666
## 22 Girdled 0.9291383 169 Extrapolation 2 7.841901 6.1238745
## 23 Girdled 0.9373713 200 Extrapolation 2 7.891717 6.1483016
## 24 Girdled 0.9717693 400 Extrapolation 2 8.030777 6.2328195
## 25 Logged 0.1445014 1 Rarefaction 0 1.000000 0.8346652
## 26 Logged 0.8076089 50 Rarefaction 0 18.420025 14.6764767
## 27 Logged 0.8892800 100 Rarefaction 0 25.642343 19.4627037
## 28 Logged 0.9356422 200 Rarefaction 0 33.904552 22.7961322
## 29 Logged 0.9444444 250 Rarefaction 0 36.892629 24.3958668
## 30 Logged 0.9445706 252 Observed 0 37.000000 24.4845057
## 31 Logged 0.9446965 253 Extrapolation 0 37.055429 24.5162372
## 32 Logged 0.9604109 400 Extrapolation 0 43.973665 28.5476783
## 33 Logged 0.1445014 1 Rarefaction 1 1.000000 0.8420034
## 34 Logged 0.8076089 50 Rarefaction 1 10.747325 8.7434864
## 35 Logged 0.8892800 100 Rarefaction 1 12.648884 10.2340408
## 36 Logged 0.9356422 200 Rarefaction 1 14.053826 11.3363521
## 37 Logged 0.9444444 250 Rarefaction 1 14.409488 11.6578766
## 38 Logged 0.9445706 252 Observed 1 14.421002 11.6693859
## 39 Logged 0.9446965 253 Extrapolation 1 14.426930 11.6737133
## 40 Logged 0.9604109 400 Extrapolation 1 15.125810 12.3047422
## 41 Logged 0.1445014 1 Rarefaction 2 1.000000 0.8521426
## 42 Logged 0.8076089 50 Rarefaction 2 6.187685 4.9170173
## 43 Logged 0.8892800 100 Rarefaction 2 6.533542 5.1277479
## 44 Logged 0.9356422 200 Rarefaction 2 6.721385 5.2379455
## 45 Logged 0.9444444 250 Rarefaction 2 6.760301 5.2652839
## 46 Logged 0.9445706 252 Observed 2 6.761499 5.2664256
## 47 Logged 0.9446965 253 Extrapolation 2 6.762113 5.2666956
## 48 Logged 0.9604109 400 Extrapolation 2 6.819417 5.3048892
## qD.UCL
## 1 1.101171
## 2 19.032861
## 3 29.497559
## 4 42.508274
## 5 42.752295
## 6 42.938617
## 7 48.297362
## 8 71.855356
## 9 1.097166
## 10 11.908549
## 11 13.611092
## 12 14.595624
## 13 14.613607
## 14 14.626130
## 15 14.946092
## 16 16.104991
## 17 1.091549
## 18 8.644574
## 19 9.271228
## 20 9.552248
## 21 9.556833
## 22 9.559927
## 23 9.635132
## 24 9.828734
## 25 1.165335
## 26 22.163573
## 27 31.821982
## 28 45.012971
## 29 49.389391
## 30 49.515494
## 31 49.594622
## 32 59.399651
## 33 1.157997
## 34 12.751164
## 35 15.063728
## 36 16.771301
## 37 17.161098
## 38 17.172617
## 39 17.180146
## 40 17.946878
## 41 1.147857
## 42 7.458353
## 43 7.939335
## 44 8.204825
## 45 8.255318
## 46 8.256573
## 47 8.257530
## 48 8.333944Plotting
Plot for an iNEXT object created previously Rarefaction/extrapolation curves for q = 0
ggiNEXT(example1, type=1) # Curve for sample size
Rarefaction/extrapolation curves for sample size for all 3 numbers divided by site
ggiNEXT(example2, type=1, facet.var="Assemblage")
Rarefaction/extrapolation curves for sample size separated by “order” (q)
ggiNEXT(example2, type=1, facet.var="Both")
?ggiNEXT
ggiNEXT(example2, type=1, facet.var="Order.q")
# adding grey=TRUE, we get a plot in black and white themeWe can also work with sample coverage
ggiNEXT(example1, type=3) # Curve for sample size
Define at which sample size you want to compare your samples.
Results: for the three hill numbers, order 0, 1,2. For all of them is interpolated or extrapolated as requested and we get the values in qD with lower and upper confidence intervals. These values are now fully comparable
Use max value of the biggest sample size
inext_spiders <- iNEXT(spider, q = 0, datatype = "abundance")
info_spiders <- inext_spiders$DataInfo
max(info_spiders$n)## [1] 252estINEXTsize <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
estINEXTsize## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 Girdled 252 Extrapolation 0 0.9490904 31.089085 23.614672 38.563498
## 2 Girdled 252 Extrapolation 1 0.9490904 12.630557 10.211692 15.049422
## 3 Girdled 252 Extrapolation 2 0.9490904 7.948519 5.873934 10.023103
## 4 Logged 252 Observed 0 0.9445706 37.000000 30.141440 43.858560
## 5 Logged 252 Observed 1 0.9445706 14.421002 11.661820 17.180183
## 6 Logged 252 Observed 2 0.9445706 6.761499 4.993134 8.529864Use max sample coverage
max(info_spiders$SC)## [1] 0.9446estINEXTcov <- estimateD(spider, datatype = "abundance", base = "coverage", level = .945,
conf = 0.95)
estINEXTcov## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 Girdled 232.6025 Extrapolation 0 0.945 30.060357 16.358488 43.762226
## 2 Girdled 232.6025 Extrapolation 1 0.945 12.517775 10.130333 14.905217
## 3 Girdled 232.6025 Extrapolation 2 0.945 7.930211 6.273837 9.586584
## 4 Logged 255.4196 Extrapolation 0 0.945 37.189028 13.451135 60.926920
## 5 Logged 255.4196 Extrapolation 1 0.945 14.441198 10.838266 18.044130
## 6 Logged 255.4196 Extrapolation 2 0.945 6.763578 5.216042 8.311114Now we can compare Species richness standardized for the same level of sample size for each habitat (sample)
estINEXTcover2 <- estimateD(spider, datatype = "abundance", base = "size", level = 252,
conf = 0.95)
habitat <- factor(c("Girdled", "Logged"))
# plot simple
mysub <- subset(estINEXTcover2, estINEXTcover2$Order.q == 0 )
plot(mysub$qD ~ habitat, border = c("green4", "red"),
xlab = "Habitats", ylab = "Est. Species richness")
# plot with confidence interval in ggplot
ggplot(mysub, aes(x = habitat, y = qD)) +
geom_point(colour = c("green4", "red"), size = 5) +
geom_errorbar(aes(ymin = qD.LCL, ymax = qD.UCL),
colour = c("green4", "red"),
width = 0.2) +
xlab("Habitats") +
ylab("Est. Species richness") +
theme_bw() 
SPATIAL ANALYSIS OF DIVERSITY
BIRD DATA
How does urbanization affect species richness?
Load data
# Bird data
bird_data <- read.csv(here("data","data_berlin","animal_data",
"Birds_Berlin_exercise_planillo2021.csv") )
head(bird_data)## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1 0 0 0
## 2 0 0 0
## 3 0 0 0
## 4 0 3 0
## 5 0 0 0
## 6 0 2 5
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1 0 0 0 0
## 2 0 1 0 0
## 3 0 0 0 0
## 4 4 2 0 0
## 5 0 2 2 11
## 6 5 0 9 1
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1 15 0 0 1
## 2 21 0 0 1
## 3 4 0 0 0
## 4 0 1 0 2
## 5 0 1 1 1
## 6 0 0 1 1
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1 2 0 0
## 2 11 11 0
## 3 7 4 0
## 4 2 3 0
## 5 6 2 0
## 6 2 4 0
## Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1 0 1 0 18
## 2 0 0 0 23
## 3 0 5 0 17
## 4 1 0 5 10
## 5 1 0 0 5
## 6 1 0 0 2
## Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1 0 10 0 9 0
## 2 0 11 0 25 0
## 3 0 2 0 18 0
## 4 0 10 2 19 0
## 5 1 6 1 18 0
## 6 0 1 1 7 0
## Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1 0 0 0 0
## 2 8 0 0 0
## 3 1 0 0 0
## 4 10 7 1 0
## 5 4 0 0 20
## 6 4 0 0 8
## Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1 0 0 0 0
## 2 0 9 0 0
## 3 0 5 0 0
## 4 1 14 0 0
## 5 0 10 0 1
## 6 14 5 0 0
## Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1 0 1 0 0
## 2 4 1 0 0
## 3 2 0 0 0
## 4 30 3 0 10
## 5 18 3 2 0
## 6 9 1 1 0
## Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1 0 0 0 0
## 2 0 0 0 7
## 3 0 0 0 0
## 4 0 0 0 9
## 5 7 2 0 20
## 6 4 1 0 3
## Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1 0 0 0 0
## 2 0 2 0 0
## 3 0 0 0 0
## 4 0 1 0 1
## 5 0 2 0 1
## 6 0 1 3 2
## Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1 0 10 162 0 0
## 2 0 39 121 5 0
## 3 0 18 56 4 0
## 4 2 19 2 0 1
## 5 2 35 18 4 0
## 6 3 10 0 2 0
## Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1 0 0 0
## 2 5 7 4
## 3 4 2 0
## 4 0 0 13
## 5 1 6 13
## 6 2 2 5
## Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1 0 0 4 0
## 2 0 1 4 1
## 3 0 0 0 0
## 4 1 1 0 1
## 5 0 15 1 1
## 6 0 1 0 0
## Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1 0 0 0 0
## 2 0 1 2 0
## 3 0 0 0 0
## 4 2 0 1 0
## 5 0 1 0 0
## 6 0 0 0 1
## Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1 0 0 0 2
## 2 5 3 0 13
## 3 0 4 0 11
## 4 0 21 0 36
## 5 0 1 0 6
## 6 0 1 0 6
## Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1 2 0 0 1
## 2 26 0 0 4
## 3 10 0 0 0
## 4 28 1 1 0
## 5 24 5 4 1
## 6 7 0 0 0
## Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1 0 27 0 BE10
## 2 10 37 0 BE11
## 3 4 30 1 BE12
## 4 14 27 11 BE13
## 5 5 54 11 BE14
## 6 3 13 3 BE15str(bird_data)## 'data.frame': 29 obs. of 71 variables:
## $ Accipiter_gentilis : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Acrocephalus_arundinaceus : int 0 0 0 3 0 2 0 0 0 0 ...
## $ Acrocephalus_palustris : int 0 0 0 0 0 5 0 3 4 0 ...
## $ Acrocephalus_scirpaceus : int 0 0 0 4 0 5 0 0 0 2 ...
## $ Aegithalos_caudatus : int 0 1 0 2 2 0 0 0 2 0 ...
## $ Alauda_arvensis : int 0 0 0 0 2 9 0 21 1 0 ...
## $ Anthus_trivialis : int 0 0 0 0 11 1 0 0 0 0 ...
## $ Apus_apus : int 15 21 4 0 0 0 0 0 3 12 ...
## $ Buteo_buteo : int 0 0 0 1 1 0 0 0 0 0 ...
## $ Carduelis_cannabina : int 0 0 0 0 1 1 0 3 1 0 ...
## $ Carduelis_carduelis : int 1 1 0 2 1 1 1 3 1 4 ...
## $ Carduelis_chloris : int 2 11 7 2 6 2 11 6 8 13 ...
## $ Certhia_brachydactyla : int 0 11 4 3 2 4 2 0 1 3 ...
## $ Certhia_familiaris : int 0 0 0 0 0 0 0 0 0 0 ...
## $ Coccothraustes_coccothraustes: int 0 0 0 1 1 1 0 0 0 1 ...
## $ Columba_livia : int 1 0 5 0 0 0 0 0 1 0 ...
## $ Columba_oenas : int 0 0 0 5 0 0 0 0 0 0 ...
## $ Columba_palumbus : int 18 23 17 10 5 2 16 7 13 15 ...
## $ Corvus_corax : int 0 0 0 0 1 0 0 0 1 0 ...
## $ Corvus_corone : int 10 11 2 10 6 1 4 4 8 10 ...
## $ Cuculus_canorus : int 0 0 0 2 1 1 0 3 1 0 ...
## $ Parus_caeruleus : int 9 25 18 19 18 7 20 4 18 15 ...
## $ Delichon_urbicum : int 0 0 0 0 0 0 0 0 2 0 ...
## $ Dendrocopos_major : int 0 8 1 10 4 4 0 0 3 3 ...
## $ Dendrocopos_medius : int 0 0 0 7 0 0 0 0 0 0 ...
## $ Dryocopus_martius : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Emberiza_citrinella : int 0 0 0 0 20 8 0 14 4 0 ...
## $ Emberiza_schoeniclus : int 0 0 0 1 0 14 0 0 1 0 ...
## $ Erithacus_rubecula : int 0 9 5 14 10 5 0 0 4 4 ...
## $ Falco_tinnunculus : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Ficedula_hypoleuca : int 0 0 0 0 1 0 0 0 0 4 ...
## $ Fringilla_coelebs : int 0 4 2 30 18 9 2 2 0 0 ...
## $ Garrulus_glandarius : int 1 1 0 3 3 1 2 2 0 3 ...
## $ Hippolais_icterina : int 0 0 0 0 2 1 0 5 1 2 ...
## $ Hirundo_rustica : int 0 0 0 10 0 0 0 0 1 0 ...
## $ Lanius_collurio : int 0 0 0 0 7 4 0 2 2 0 ...
## $ Locustella_naevia : int 0 0 0 0 2 1 0 2 2 0 ...
## $ Parus_cristatus : int 0 0 0 0 0 0 0 0 1 0 ...
## $ Luscinia_megarhynchos : int 0 7 0 9 20 3 10 6 18 5 ...
## $ Miliaria_calandra : int 0 0 0 0 0 0 0 8 0 0 ...
## $ Motacilla_alba : int 0 2 0 1 2 1 0 0 2 0 ...
## $ Motacilla_flava : int 0 0 0 0 0 3 0 0 0 0 ...
## $ Muscicapa_striata : int 0 0 0 1 1 2 0 0 1 3 ...
## $ Oriolus_oriolus : int 0 0 0 2 2 3 0 0 0 0 ...
## $ Parus_major : int 10 39 18 19 35 10 46 17 28 18 ...
## $ Passer_domesticus : int 162 121 56 2 18 0 104 0 88 90 ...
## $ Passer_montanus : int 0 5 4 0 4 2 6 4 8 8 ...
## $ Parus_ater : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Phoenicurus_ochruros : int 0 5 4 0 1 2 7 0 4 6 ...
## $ Phoenicurus_phoenicurus : int 0 7 2 0 6 2 11 0 12 9 ...
## $ Phylloscopus_collybita : int 0 4 0 13 13 5 7 4 9 3 ...
## $ Phylloscopus_sibilatrix : int 0 0 0 1 0 0 0 0 0 0 ...
## $ Phylloscopus_trochilus : int 0 1 0 1 15 1 0 14 4 3 ...
## $ Pica_pica : int 4 4 0 0 1 0 4 2 5 7 ...
## $ Picus_viridis : int 0 1 0 1 1 0 0 1 0 1 ...
## $ Parus_palustris : int 0 0 0 2 0 0 0 0 0 0 ...
## $ Prunella_modularis : int 0 1 0 0 1 0 1 0 3 1 ...
## $ Regulus_ignicapilla : int 0 2 0 1 0 0 4 0 1 0 ...
## $ Saxicola_torquatus : int 0 0 0 0 0 1 0 2 0 0 ...
## $ Serinus_serinus : int 0 5 0 0 0 0 4 0 7 4 ...
## $ Sitta_europaea : int 0 3 4 21 1 1 0 0 0 3 ...
## $ Streptopelia_decaocto : int 0 0 0 0 0 0 0 0 0 6 ...
## $ Sturnus_vulgaris : int 2 13 11 36 6 6 19 10 17 34 ...
## $ Sylvia_atricapilla : int 2 26 10 28 24 7 14 12 15 7 ...
## $ Sylvia_borin : int 0 0 0 1 5 0 0 3 3 3 ...
## $ Sylvia_communis : int 0 0 0 1 4 0 0 23 0 1 ...
## $ Sylvia_curruca : int 1 4 0 0 1 0 7 3 4 4 ...
## $ Troglodytes_troglodytes : int 0 10 4 14 5 3 6 0 5 2 ...
## $ Turdus_merula : int 27 37 30 27 54 13 39 14 49 32 ...
## $ Turdus_philomelos : int 0 0 1 11 11 3 1 5 1 4 ...
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...summary(bird_data)## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## Min. :0.0000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median :0.0000 Median :0.0000
## Mean :0.1379 Mean :0.2414 Mean :0.4138
## 3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
## Max. :2.0000 Max. :3.0000 Max. :5.0000
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## Min. :0.0000 Min. :0.0000 Min. : 0.000 Min. : 0.0000
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000
## Median :0.0000 Median :0.0000 Median : 0.000 Median : 0.0000
## Mean :0.5517 Mean :0.7241 Mean : 1.172 Mean : 0.4483
## 3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000
## Max. :5.0000 Max. :4.0000 Max. :21.000 Max. :11.0000
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## Min. : 0.000 Min. :0.0000 Min. :0.0000 Min. :0.000
## 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.000
## Median : 0.000 Median :0.0000 Median :0.0000 Median :1.000
## Mean : 5.069 Mean :0.1034 Mean :0.3103 Mean :1.517
## 3rd Qu.: 5.000 3rd Qu.:0.0000 3rd Qu.:0.0000 3rd Qu.:2.000
## Max. :37.000 Max. :1.0000 Max. :3.0000 Max. :6.000
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## Min. : 0.000 Min. : 0.000 Min. :0.0000
## 1st Qu.: 2.000 1st Qu.: 1.000 1st Qu.:0.0000
## Median : 6.000 Median : 3.000 Median :0.0000
## Mean : 6.276 Mean : 4.483 Mean :0.5172
## 3rd Qu.: 9.000 3rd Qu.: 9.000 3rd Qu.:0.0000
## Max. :19.000 Max. :12.000 Max. :6.0000
## Coccothraustes_coccothraustes Columba_livia Columba_oenas
## Min. : 0.000 Min. : 0.000 Min. :0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000
## Median : 0.000 Median : 0.000 Median :0.0000
## Mean : 1.621 Mean : 2.586 Mean :0.4138
## 3rd Qu.: 1.000 3rd Qu.: 4.000 3rd Qu.:0.0000
## Max. :15.000 Max. :15.000 Max. :5.0000
## Columba_palumbus Corvus_corax Corvus_corone Cuculus_canorus
## Min. : 2.00 Min. :0.0000 Min. : 0.000 Min. :0.0000
## 1st Qu.:10.00 1st Qu.:0.0000 1st Qu.: 2.000 1st Qu.:0.0000
## Median :13.00 Median :0.0000 Median : 6.000 Median :0.0000
## Mean :13.07 Mean :0.1379 Mean : 6.586 Mean :0.3448
## 3rd Qu.:17.00 3rd Qu.:0.0000 3rd Qu.:10.000 3rd Qu.:0.0000
## Max. :32.00 Max. :1.0000 Max. :22.000 Max. :3.0000
## Parus_caeruleus Delichon_urbicum Dendrocopos_major Dendrocopos_medius
## Min. : 4 Min. :0.0000 Min. : 0.000 Min. :0.0000
## 1st Qu.:11 1st Qu.:0.0000 1st Qu.: 1.000 1st Qu.:0.0000
## Median :18 Median :0.0000 Median : 2.000 Median :0.0000
## Mean :19 Mean :0.2069 Mean : 5.517 Mean :0.3103
## 3rd Qu.:23 3rd Qu.:0.0000 3rd Qu.: 8.000 3rd Qu.:0.0000
## Max. :44 Max. :2.0000 Max. :36.000 Max. :7.0000
## Dryocopus_martius Emberiza_citrinella Emberiza_schoeniclus Erithacus_rubecula
## Min. :0.0000 Min. : 0.000 Min. : 0.0000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.: 0.0000 1st Qu.: 2.000
## Median :0.0000 Median : 0.000 Median : 0.0000 Median : 4.000
## Mean :0.2069 Mean : 1.862 Mean : 0.5517 Mean : 6.931
## 3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.: 0.0000 3rd Qu.:10.000
## Max. :2.0000 Max. :20.000 Max. :14.0000 Max. :35.000
## Falco_tinnunculus Ficedula_hypoleuca Fringilla_coelebs Garrulus_glandarius
## Min. :0.0000 Min. :0.000 Min. : 0.00 Min. :0.000
## 1st Qu.:0.0000 1st Qu.:0.000 1st Qu.: 0.00 1st Qu.:1.000
## Median :0.0000 Median :0.000 Median : 3.00 Median :1.000
## Mean :0.1724 Mean :1.345 Mean :11.86 Mean :1.793
## 3rd Qu.:0.0000 3rd Qu.:1.000 3rd Qu.:18.00 3rd Qu.:3.000
## Max. :1.0000 Max. :9.000 Max. :71.00 Max. :5.000
## Hippolais_icterina Hirundo_rustica Lanius_collurio Locustella_naevia
## Min. :0.0000 Min. : 0.0000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.: 0.0000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median : 0.0000 Median :0.0000 Median :0.0000
## Mean :0.3793 Mean : 0.6552 Mean :0.5172 Mean :0.2414
## 3rd Qu.:0.0000 3rd Qu.: 0.0000 3rd Qu.:0.0000 3rd Qu.:0.0000
## Max. :5.0000 Max. :10.0000 Max. :7.0000 Max. :2.0000
## Parus_cristatus Luscinia_megarhynchos Miliaria_calandra Motacilla_alba
## Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. :0.0000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.:0.0000
## Median :0.0000 Median : 2.000 Median :0.0000 Median :0.0000
## Mean :0.8621 Mean : 4.069 Mean :0.2759 Mean :0.4138
## 3rd Qu.:0.0000 3rd Qu.: 7.000 3rd Qu.:0.0000 3rd Qu.:1.0000
## Max. :7.0000 Max. :20.000 Max. :8.0000 Max. :2.0000
## Motacilla_flava Muscicapa_striata Oriolus_oriolus Parus_major
## Min. :0.0000 Min. :0.0000 Min. :0.0000 Min. : 6.00
## 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:0.0000 1st Qu.:17.00
## Median :0.0000 Median :0.0000 Median :0.0000 Median :22.00
## Mean :0.1034 Mean :0.6207 Mean :0.2759 Mean :23.86
## 3rd Qu.:0.0000 3rd Qu.:1.0000 3rd Qu.:0.0000 3rd Qu.:29.00
## Max. :3.0000 Max. :4.0000 Max. :3.0000 Max. :52.00
## Passer_domesticus Passer_montanus Parus_ater Phoenicurus_ochruros
## Min. : 0.00 Min. : 0.000 Min. :0.0000 Min. : 0
## 1st Qu.: 14.00 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 1
## Median : 65.00 Median : 3.000 Median :0.0000 Median : 2
## Mean : 68.38 Mean : 3.828 Mean :0.5517 Mean : 4
## 3rd Qu.: 90.00 3rd Qu.: 6.000 3rd Qu.:0.0000 3rd Qu.: 5
## Max. :279.00 Max. :15.000 Max. :5.0000 Max. :21
## Phoenicurus_phoenicurus Phylloscopus_collybita Phylloscopus_sibilatrix
## Min. : 0.000 Min. : 0.000 Min. : 0.000
## 1st Qu.: 2.000 1st Qu.: 0.000 1st Qu.: 0.000
## Median : 5.000 Median : 2.000 Median : 0.000
## Mean : 4.966 Mean : 3.517 Mean : 2.069
## 3rd Qu.: 8.000 3rd Qu.: 5.000 3rd Qu.: 1.000
## Max. :13.000 Max. :14.000 Max. :24.000
## Phylloscopus_trochilus Pica_pica Picus_viridis Parus_palustris
## Min. : 0.000 Min. : 0.000 Min. :0.0000 Min. : 0.0000
## 1st Qu.: 0.000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.0000
## Median : 0.000 Median : 2.000 Median :0.0000 Median : 0.0000
## Mean : 1.483 Mean : 3.138 Mean :0.4483 Mean : 0.5517
## 3rd Qu.: 1.000 3rd Qu.: 5.000 3rd Qu.:1.0000 3rd Qu.: 0.0000
## Max. :15.000 Max. :10.000 Max. :1.0000 Max. :10.0000
## Prunella_modularis Regulus_ignicapilla Saxicola_torquatus Serinus_serinus
## Min. :0.0000 Min. : 0.000 Min. :0.0000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 0.000
## Median :0.0000 Median : 0.000 Median :0.0000 Median : 1.000
## Mean :0.5517 Mean : 1.552 Mean :0.1034 Mean : 2.103
## 3rd Qu.:1.0000 3rd Qu.: 2.000 3rd Qu.:0.0000 3rd Qu.: 4.000
## Max. :5.0000 Max. :12.000 Max. :2.0000 Max. :15.000
## Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris Sylvia_atricapilla
## Min. : 0.000 Min. :0.0000 Min. : 2.00 Min. : 0.00
## 1st Qu.: 0.000 1st Qu.:0.0000 1st Qu.: 5.00 1st Qu.: 7.00
## Median : 1.000 Median :0.0000 Median : 8.00 Median :10.00
## Mean : 4.759 Mean :0.2069 Mean :10.52 Mean :10.83
## 3rd Qu.: 4.000 3rd Qu.:0.0000 3rd Qu.:13.00 3rd Qu.:13.00
## Max. :29.000 Max. :6.0000 Max. :36.00 Max. :28.00
## Sylvia_borin Sylvia_communis Sylvia_curruca Troglodytes_troglodytes
## Min. :0.0000 Min. : 0.000 Min. :0.000 Min. : 0.000
## 1st Qu.:0.0000 1st Qu.: 0.000 1st Qu.:0.000 1st Qu.: 0.000
## Median :0.0000 Median : 0.000 Median :2.000 Median : 3.000
## Mean :0.6207 Mean : 1.069 Mean :2.207 Mean : 6.034
## 3rd Qu.:0.0000 3rd Qu.: 0.000 3rd Qu.:3.000 3rd Qu.: 9.000
## Max. :5.0000 Max. :23.000 Max. :7.000 Max. :36.000
## Turdus_merula Turdus_philomelos site
## Min. :11.00 Min. : 0.000 Length:29
## 1st Qu.:18.00 1st Qu.: 0.000 Class :character
## Median :27.00 Median : 1.000 Mode :character
## Mean :29.34 Mean : 3.345
## 3rd Qu.:39.00 3rd Qu.: 5.000
## Max. :54.00 Max. :14.000bird_data## Accipiter_gentilis Acrocephalus_arundinaceus Acrocephalus_palustris
## 1 0 0 0
## 2 0 0 0
## 3 0 0 0
## 4 0 3 0
## 5 0 0 0
## 6 0 2 5
## 7 0 0 0
## 8 0 0 3
## 9 1 0 4
## 10 0 0 0
## 11 2 0 0
## 12 0 0 0
## 13 1 0 0
## 14 0 0 0
## 15 0 0 0
## 16 0 0 0
## 17 0 0 0
## 18 0 0 0
## 19 0 0 0
## 20 0 0 0
## 21 0 0 0
## 22 0 2 0
## 23 0 0 0
## 24 0 0 0
## 25 0 0 0
## 26 0 0 0
## 27 0 0 0
## 28 0 0 0
## 29 0 0 0
## Acrocephalus_scirpaceus Aegithalos_caudatus Alauda_arvensis Anthus_trivialis
## 1 0 0 0 0
## 2 0 1 0 0
## 3 0 0 0 0
## 4 4 2 0 0
## 5 0 2 2 11
## 6 5 0 9 1
## 7 0 0 0 0
## 8 0 0 21 0
## 9 0 2 1 0
## 10 2 0 0 0
## 11 0 1 0 0
## 12 0 0 0 0
## 13 1 2 0 0
## 14 0 1 0 0
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 3 0 0
## 18 0 1 0 0
## 19 0 1 0 0
## 20 1 0 0 0
## 21 0 0 0 0
## 22 0 0 0 1
## 23 0 1 1 0
## 24 0 4 0 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 0 0 0
## 28 0 0 0 0
## 29 3 0 0 0
## Apus_apus Buteo_buteo Carduelis_cannabina Carduelis_carduelis
## 1 15 0 0 1
## 2 21 0 0 1
## 3 4 0 0 0
## 4 0 1 0 2
## 5 0 1 1 1
## 6 0 0 1 1
## 7 0 0 0 1
## 8 0 0 3 3
## 9 3 0 1 1
## 10 12 0 0 4
## 11 0 0 0 0
## 12 4 0 0 0
## 13 3 0 0 2
## 14 5 0 0 3
## 15 5 0 0 3
## 16 0 0 0 6
## 17 12 0 0 1
## 18 0 0 0 0
## 19 19 0 3 0
## 20 0 1 0 2
## 21 0 0 0 1
## 22 0 0 0 1
## 23 0 0 0 1
## 24 0 0 0 0
## 25 5 0 0 0
## 26 2 0 0 1
## 27 37 0 0 2
## 28 0 0 0 6
## 29 0 0 0 0
## Carduelis_chloris Certhia_brachydactyla Certhia_familiaris
## 1 2 0 0
## 2 11 11 0
## 3 7 4 0
## 4 2 3 0
## 5 6 2 0
## 6 2 4 0
## 7 11 2 0
## 8 6 0 0
## 9 8 1 0
## 10 13 3 0
## 11 0 11 6
## 12 1 1 0
## 13 7 11 0
## 14 10 5 0
## 15 3 3 0
## 16 5 5 0
## 17 19 0 0
## 18 6 10 0
## 19 11 4 0
## 20 0 9 2
## 21 9 0 0
## 22 5 9 1
## 23 9 1 0
## 24 6 10 0
## 25 4 0 0
## 26 2 3 0
## 27 8 4 0
## 28 9 2 0
## 29 0 12 6
## Coccothraustes_coccothraustes Columba_livia Columba_oenas Columba_palumbus
## 1 0 1 0 18
## 2 0 0 0 23
## 3 0 5 0 17
## 4 1 0 5 10
## 5 1 0 0 5
## 6 1 0 0 2
## 7 0 0 0 16
## 8 0 0 0 7
## 9 0 1 0 13
## 10 1 0 0 15
## 11 15 0 2 12
## 12 0 4 0 6
## 13 8 0 0 15
## 14 0 15 0 18
## 15 0 13 0 18
## 16 0 0 0 11
## 17 0 0 0 10
## 18 0 2 0 13
## 19 2 1 0 17
## 20 3 0 3 6
## 21 0 3 0 15
## 22 3 2 0 5
## 23 0 0 0 18
## 24 5 0 1 19
## 25 0 7 0 11
## 26 0 9 0 10
## 27 0 8 0 32
## 28 0 4 0 12
## 29 7 0 1 5
## Corvus_corax Corvus_corone Cuculus_canorus Parus_caeruleus Delichon_urbicum
## 1 0 10 0 9 0
## 2 0 11 0 25 0
## 3 0 2 0 18 0
## 4 0 10 2 19 0
## 5 1 6 1 18 0
## 6 0 1 1 7 0
## 7 0 4 0 20 0
## 8 0 4 3 4 0
## 9 1 8 1 18 2
## 10 0 10 0 15 0
## 11 1 2 1 33 0
## 12 0 3 0 11 0
## 13 0 4 0 44 0
## 14 0 4 0 14 0
## 15 0 6 0 12 0
## 16 0 11 0 15 0
## 17 0 5 0 18 0
## 18 0 2 0 16 0
## 19 0 14 0 26 0
## 20 0 0 0 31 0
## 21 0 12 0 11 0
## 22 1 1 0 23 0
## 23 0 2 0 11 0
## 24 0 8 0 44 0
## 25 0 7 0 5 1
## 26 0 8 0 22 1
## 27 0 22 0 23 2
## 28 0 13 0 10 0
## 29 0 1 1 29 0
## Dendrocopos_major Dendrocopos_medius Dryocopus_martius Emberiza_citrinella
## 1 0 0 0 0
## 2 8 0 0 0
## 3 1 0 0 0
## 4 10 7 1 0
## 5 4 0 0 20
## 6 4 0 0 8
## 7 0 0 0 0
## 8 0 0 0 14
## 9 3 0 0 4
## 10 3 0 0 0
## 11 36 1 2 0
## 12 1 0 0 0
## 13 8 0 0 0
## 14 0 0 0 0
## 15 0 0 0 0
## 16 2 0 0 0
## 17 2 0 0 0
## 18 6 0 0 0
## 19 3 0 0 1
## 20 11 0 1 0
## 21 2 0 0 0
## 22 9 0 0 7
## 23 2 0 0 0
## 24 22 0 1 0
## 25 1 0 0 0
## 26 1 0 0 0
## 27 1 0 0 0
## 28 1 0 0 0
## 29 19 1 1 0
## Emberiza_schoeniclus Erithacus_rubecula Falco_tinnunculus Ficedula_hypoleuca
## 1 0 0 0 0
## 2 0 9 0 0
## 3 0 5 0 0
## 4 1 14 0 0
## 5 0 10 0 1
## 6 14 5 0 0
## 7 0 0 0 0
## 8 0 0 0 0
## 9 1 4 1 0
## 10 0 4 0 4
## 11 0 35 0 6
## 12 0 0 0 0
## 13 0 13 0 0
## 14 0 2 0 0
## 15 0 5 0 0
## 16 0 2 0 0
## 17 0 1 0 0
## 18 0 5 1 0
## 19 0 3 1 1
## 20 0 25 0 8
## 21 0 2 0 0
## 22 0 10 0 9
## 23 0 3 0 0
## 24 0 17 0 7
## 25 0 0 0 0
## 26 0 3 1 0
## 27 0 2 0 0
## 28 0 0 1 0
## 29 0 22 0 3
## Fringilla_coelebs Garrulus_glandarius Hippolais_icterina Hirundo_rustica
## 1 0 1 0 0
## 2 4 1 0 0
## 3 2 0 0 0
## 4 30 3 0 10
## 5 18 3 2 0
## 6 9 1 1 0
## 7 2 2 0 0
## 8 2 2 5 0
## 9 0 0 1 1
## 10 0 3 2 0
## 11 71 5 0 0
## 12 0 0 0 0
## 13 24 1 0 0
## 14 0 1 0 0
## 15 1 0 0 0
## 16 3 0 0 0
## 17 5 1 0 1
## 18 8 0 0 0
## 19 1 2 0 0
## 20 46 4 0 0
## 21 3 5 0 0
## 22 21 2 0 7
## 23 0 1 0 0
## 24 36 5 0 0
## 25 0 2 0 0
## 26 3 0 0 0
## 27 0 2 0 0
## 28 0 1 0 0
## 29 55 4 0 0
## Lanius_collurio Locustella_naevia Parus_cristatus Luscinia_megarhynchos
## 1 0 0 0 0
## 2 0 0 0 7
## 3 0 0 0 0
## 4 0 0 0 9
## 5 7 2 0 20
## 6 4 1 0 3
## 7 0 0 0 10
## 8 2 2 0 6
## 9 2 2 1 18
## 10 0 0 0 5
## 11 0 0 5 0
## 12 0 0 0 0
## 13 0 0 0 8
## 14 0 0 0 2
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 0 0 2
## 18 0 0 0 2
## 19 0 0 2 7
## 20 0 0 4 0
## 21 0 0 0 0
## 22 0 0 7 3
## 23 0 0 0 10
## 24 0 0 0 0
## 25 0 0 0 1
## 26 0 0 0 0
## 27 0 0 0 1
## 28 0 0 0 3
## 29 0 0 6 1
## Miliaria_calandra Motacilla_alba Motacilla_flava Muscicapa_striata
## 1 0 0 0 0
## 2 0 2 0 0
## 3 0 0 0 0
## 4 0 1 0 1
## 5 0 2 0 1
## 6 0 1 3 2
## 7 0 0 0 0
## 8 8 0 0 0
## 9 0 2 0 1
## 10 0 0 0 3
## 11 0 0 0 2
## 12 0 0 0 0
## 13 0 0 0 4
## 14 0 0 0 0
## 15 0 1 0 0
## 16 0 0 0 0
## 17 0 0 0 0
## 18 0 0 0 2
## 19 0 1 0 0
## 20 0 1 0 1
## 21 0 0 0 0
## 22 0 0 0 0
## 23 0 0 0 0
## 24 0 0 0 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 1 0 0
## 28 0 0 0 0
## 29 0 0 0 1
## Oriolus_oriolus Parus_major Passer_domesticus Passer_montanus Parus_ater
## 1 0 10 162 0 0
## 2 0 39 121 5 0
## 3 0 18 56 4 0
## 4 2 19 2 0 1
## 5 2 35 18 4 0
## 6 3 10 0 2 0
## 7 0 46 104 6 0
## 8 0 17 0 4 0
## 9 0 28 88 8 0
## 10 0 18 90 8 0
## 11 0 29 0 0 3
## 12 0 9 71 1 0
## 13 0 29 5 1 0
## 14 0 19 62 0 0
## 15 0 18 71 0 0
## 16 0 20 174 0 0
## 17 0 25 65 5 0
## 18 0 39 115 0 0
## 19 0 36 65 12 0
## 20 0 28 0 0 0
## 21 0 13 56 14 0
## 22 0 29 22 5 4
## 23 0 22 78 15 0
## 24 1 52 14 7 3
## 25 0 6 116 0 0
## 26 0 15 76 0 0
## 27 0 22 279 3 0
## 28 0 14 73 7 0
## 29 0 27 0 0 5
## Phoenicurus_ochruros Phoenicurus_phoenicurus Phylloscopus_collybita
## 1 0 0 0
## 2 5 7 4
## 3 4 2 0
## 4 0 0 13
## 5 1 6 13
## 6 2 2 5
## 7 7 11 7
## 8 0 0 4
## 9 4 12 9
## 10 6 9 3
## 11 0 0 1
## 12 1 3 0
## 13 3 13 14
## 14 19 5 0
## 15 21 3 0
## 16 4 3 0
## 17 2 9 5
## 18 2 5 1
## 19 3 9 1
## 20 0 1 2
## 21 10 5 0
## 22 1 8 11
## 23 1 9 1
## 24 2 7 3
## 25 5 0 0
## 26 2 5 0
## 27 5 2 0
## 28 6 6 2
## 29 0 2 3
## Phylloscopus_sibilatrix Phylloscopus_trochilus Pica_pica Picus_viridis
## 1 0 0 4 0
## 2 0 1 4 1
## 3 0 0 0 0
## 4 1 1 0 1
## 5 0 15 1 1
## 6 0 1 0 0
## 7 0 0 4 0
## 8 0 14 2 1
## 9 0 4 5 0
## 10 0 3 7 1
## 11 24 0 0 1
## 12 0 0 4 0
## 13 6 0 0 1
## 14 0 0 3 0
## 15 0 0 3 0
## 16 0 0 2 0
## 17 2 0 2 1
## 18 0 0 0 1
## 19 1 2 9 1
## 20 4 0 0 0
## 21 0 0 9 0
## 22 8 0 2 0
## 23 0 0 2 1
## 24 0 0 0 1
## 25 0 0 10 0
## 26 0 0 5 1
## 27 1 1 7 0
## 28 0 0 6 0
## 29 13 1 0 0
## Parus_palustris Prunella_modularis Regulus_ignicapilla Saxicola_torquatus
## 1 0 0 0 0
## 2 0 1 2 0
## 3 0 0 0 0
## 4 2 0 1 0
## 5 0 1 0 0
## 6 0 0 0 1
## 7 0 1 4 0
## 8 0 0 0 2
## 9 0 3 1 0
## 10 0 1 0 0
## 11 0 0 7 0
## 12 0 0 0 0
## 13 0 5 3 0
## 14 0 0 0 0
## 15 0 0 0 0
## 16 0 0 0 0
## 17 0 1 2 0
## 18 0 0 0 0
## 19 0 1 0 0
## 20 3 0 6 0
## 21 0 0 0 0
## 22 0 1 2 0
## 23 0 1 0 0
## 24 1 0 12 0
## 25 0 0 0 0
## 26 0 0 0 0
## 27 0 0 0 0
## 28 0 0 0 0
## 29 10 0 5 0
## Serinus_serinus Sitta_europaea Streptopelia_decaocto Sturnus_vulgaris
## 1 0 0 0 2
## 2 5 3 0 13
## 3 0 4 0 11
## 4 0 21 0 36
## 5 0 1 0 6
## 6 0 1 0 6
## 7 4 0 0 19
## 8 0 0 0 10
## 9 7 0 0 17
## 10 4 3 6 34
## 11 0 29 0 2
## 12 1 1 0 5
## 13 15 6 0 19
## 14 3 0 0 3
## 15 1 0 0 4
## 16 0 3 0 9
## 17 2 0 0 7
## 18 1 4 0 19
## 19 5 0 0 12
## 20 0 18 0 3
## 21 0 1 0 18
## 22 4 5 0 7
## 23 0 0 0 2
## 24 0 23 0 8
## 25 2 0 0 5
## 26 3 0 0 8
## 27 0 1 0 11
## 28 4 0 0 7
## 29 0 14 0 2
## Sylvia_atricapilla Sylvia_borin Sylvia_communis Sylvia_curruca
## 1 2 0 0 1
## 2 26 0 0 4
## 3 10 0 0 0
## 4 28 1 1 0
## 5 24 5 4 1
## 6 7 0 0 0
## 7 14 0 0 7
## 8 12 3 23 3
## 9 15 3 0 4
## 10 7 3 1 4
## 11 9 0 0 0
## 12 6 0 0 2
## 13 20 0 0 3
## 14 7 0 0 3
## 15 4 0 0 1
## 16 8 0 0 1
## 17 10 0 0 0
## 18 10 0 0 3
## 19 3 0 2 4
## 20 11 0 0 0
## 21 6 2 0 5
## 22 12 0 0 3
## 23 13 1 0 7
## 24 13 0 0 3
## 25 0 0 0 0
## 26 8 0 0 1
## 27 10 0 0 1
## 28 5 0 0 3
## 29 14 0 0 0
## Troglodytes_troglodytes Turdus_merula Turdus_philomelos site
## 1 0 27 0 BE10
## 2 10 37 0 BE11
## 3 4 30 1 BE12
## 4 14 27 11 BE13
## 5 5 54 11 BE14
## 6 3 13 3 BE15
## 7 6 39 1 BE16
## 8 0 14 5 BE17
## 9 5 49 1 BE18
## 10 2 32 4 BE19
## 11 36 30 14 BE2
## 12 0 14 0 BE20
## 13 15 54 6 BE21
## 14 1 27 0 BE22
## 15 0 26 0 BE23
## 16 1 27 0 BE24
## 17 0 18 1 BE25
## 18 5 26 0 BE26
## 19 1 24 1 BE27
## 20 9 14 9 BE28
## 21 0 41 0 BE29
## 22 9 25 7 BE3
## 23 6 46 1 BE30
## 24 26 40 14 BE4
## 25 0 11 0 BE5
## 26 1 16 1 BE6
## 27 0 51 1 BE7
## 28 2 22 0 BE8
## 29 14 17 5 BE9Get the Hill Number for species richness
iNext package uses the data in a specific format: Matrix with species in rows, sites in columns.
# get the data in the proper format
bird_data <- column_to_rownames(bird_data, "site")
bird_data <- t(bird_data)
# run inext function
birds_inext <- iNEXT(bird_data, q = 0, datatype = "abundance") # q = 0 -> species richness
#Show a summary of the data
birds_inext$DataInfo## Assemblage n S.obs SC f1 f2 f3 f4 f5 f6 f7 f8 f9 f10
## 1 BE10 265 15 0.9850 4 3 0 1 0 0 0 0 1 2
## 2 BE11 423 32 0.9858 6 2 1 4 3 0 2 1 1 1
## 3 BE12 209 21 0.9906 2 3 0 6 2 0 1 0 0 1
## 4 BE13 333 42 0.9611 13 7 3 1 1 0 1 0 1 4
## 5 BE14 356 46 0.9608 14 7 1 3 3 4 1 0 0 1
## 6 BE15 157 41 0.9178 13 7 5 3 4 1 2 1 2 1
## 7 BE16 348 25 0.9914 3 3 0 4 0 2 3 0 0 1
## 8 BE17 209 31 0.9955 1 6 6 4 2 2 1 1 0 1
## 9 BE18 370 47 0.9568 16 5 4 6 2 0 1 3 1 0
## 10 BE19 345 37 0.9885 4 3 8 6 1 2 2 1 1 1
## 11 BE2 434 32 0.9862 6 6 1 0 2 2 1 0 1 0
## 12 BE20 149 20 0.9531 7 1 2 3 1 2 0 0 1 0
## 13 BE21 374 35 0.9867 5 2 4 2 2 3 1 3 0 0
## 14 BE22 232 23 0.9871 3 2 5 1 3 0 1 0 0 1
## 15 BE23 222 21 0.9820 4 0 5 2 2 1 0 0 0 0
## 16 BE24 312 20 0.9937 2 3 3 1 2 1 0 1 1 0
## 17 BE25 237 29 0.9707 7 7 1 0 4 0 1 0 1 2
## 18 BE26 305 26 0.9837 5 5 1 1 3 2 0 1 0 2
## 19 BE27 312 39 0.9584 13 5 5 2 1 0 1 0 2 0
## 20 BE28 267 30 0.9776 6 3 4 3 0 2 0 1 3 0
## 21 BE29 243 22 0.9919 2 3 2 0 3 1 0 0 2 1
## 22 BE3 294 40 0.9763 7 5 3 2 4 0 5 2 4 1
## 23 BE30 266 28 0.9588 11 4 1 0 0 1 1 0 2 1
## 24 BE4 415 32 0.9880 5 1 3 1 2 1 3 2 0 1
## 25 BE5 199 17 0.9850 3 2 0 1 4 1 2 0 0 1
## 26 BE6 208 26 0.9617 8 3 4 0 2 0 0 3 1 1
## 27 BE7 540 28 0.9852 8 5 1 1 1 0 1 2 0 1
## 28 BE8 219 24 0.9864 3 3 2 2 1 4 2 0 1 1
## 29 BE9 310 33 0.9742 8 2 3 1 4 2 1 0 0 1#Show a summary of the data with diversity estimates in rarefied and extrapolated samples
head(birds_inext$iNextEst)## $size_based
## Assemblage m Method Order.q qD qD.LCL qD.UCL
## 1 BE10 1 Rarefaction 0 1.000000 1.000000 1.000000
## 2 BE10 15 Rarefaction 0 5.138521 4.647934 5.629108
## 3 BE10 30 Rarefaction 0 7.261204 6.536886 7.985523
## 4 BE10 44 Rarefaction 0 8.493792 7.603123 9.384461
## 5 BE10 59 Rarefaction 0 9.433917 8.387325 10.480509
## 6 BE10 74 Rarefaction 0 10.164352 8.976771 11.351934
## 7 BE10 88 Rarefaction 0 10.736162 9.428130 12.044195
## 8 BE10 103 Rarefaction 0 11.274111 9.846717 12.701504
## 9 BE10 117 Rarefaction 0 11.727559 10.195622 13.259497
## 10 BE10 132 Rarefaction 0 12.174118 10.535381 13.812856
## 11 BE10 147 Rarefaction 0 12.587566 10.845721 14.329412
## 12 BE10 161 Rarefaction 0 12.947639 11.111810 14.783467
## 13 BE10 176 Rarefaction 0 13.308532 11.373642 15.243423
## 14 BE10 190 Rarefaction 0 13.623868 11.597560 15.650175
## 15 BE10 205 Rarefaction 0 13.940110 11.816579 16.063640
## 16 BE10 220 Rarefaction 0 14.235107 12.014761 16.455453
## 17 BE10 234 Rarefaction 0 14.492039 12.181389 16.802689
## 18 BE10 249 Rarefaction 0 14.748190 12.340469 17.155911
## 19 BE10 264 Rarefaction 0 14.984906 12.479309 17.490502
## 20 BE10 265 Observed 0 15.000000 12.487836 17.512164
## 21 BE10 266 Extrapolation 0 15.015009 12.496272 17.533747
## 22 BE10 279 Extrapolation 0 15.202582 12.597810 17.807354
## 23 BE10 293 Extrapolation 0 15.389716 12.690968 18.088464
## 24 BE10 307 Extrapolation 0 15.562580 12.768458 18.356702
## 25 BE10 321 Extrapolation 0 15.722262 12.831487 18.613037
## 26 BE10 335 Extrapolation 0 15.869767 12.881250 18.858284
## 27 BE10 349 Extrapolation 0 16.006024 12.918899 19.093150
## 28 BE10 363 Extrapolation 0 16.131891 12.945518 19.318264
## 29 BE10 377 Extrapolation 0 16.248159 12.962121 19.534198
## 30 BE10 391 Extrapolation 0 16.355562 12.969646 19.741477
## 31 BE10 404 Extrapolation 0 16.447945 12.969265 19.926626
## 32 BE10 418 Extrapolation 0 16.540113 12.961671 20.118554
## 33 BE10 432 Extrapolation 0 16.625252 12.947348 20.303156
## 34 BE10 446 Extrapolation 0 16.703899 12.926972 20.480825
## 35 BE10 460 Extrapolation 0 16.776548 12.901166 20.651931
## 36 BE10 474 Extrapolation 0 16.843658 12.870498 20.816818
## 37 BE10 488 Extrapolation 0 16.905650 12.835490 20.975809
## 38 BE10 502 Extrapolation 0 16.962915 12.796621 21.129208
## 39 BE10 516 Extrapolation 0 17.015813 12.754329 21.277296
## 40 BE10 530 Extrapolation 0 17.064677 12.709012 21.420342
## 41 BE11 1 Rarefaction 0 1.000000 1.000000 1.000000
## 42 BE11 24 Rarefaction 0 12.039825 11.309707 12.769943
## 43 BE11 47 Rarefaction 0 17.059840 15.895096 18.224584
## 44 BE11 71 Rarefaction 0 20.301219 18.821286 21.781151
## 45 BE11 94 Rarefaction 0 22.469926 20.761138 24.178715
## 46 BE11 117 Rarefaction 0 24.094760 22.191163 25.998358
## 47 BE11 141 Rarefaction 0 25.411433 23.320187 27.502679
## 48 BE11 164 Rarefaction 0 26.423742 24.158623 28.688861
## 49 BE11 188 Rarefaction 0 27.295731 24.851856 29.739606
## 50 BE11 211 Rarefaction 0 28.002310 25.389025 30.615595
## 51 BE11 234 Rarefaction 0 28.614707 25.834219 31.395195
## 52 BE11 258 Rarefaction 0 29.177696 26.225682 32.129710
## 53 BE11 281 Rarefaction 0 29.661529 26.548396 32.774661
## 54 BE11 305 Rarefaction 0 30.121871 26.844222 33.399520
## 55 BE11 328 Rarefaction 0 30.530064 27.098155 33.961973
## 56 BE11 351 Rarefaction 0 30.913169 27.330057 34.496282
## 57 BE11 375 Rarefaction 0 31.291853 27.553720 35.029986
## 58 BE11 398 Rarefaction 0 31.638444 27.753731 35.523158
## 59 BE11 422 Rarefaction 0 31.985816 27.949329 36.022302
## 60 BE11 423 Observed 0 32.000000 27.957200 36.042800
## 61 BE11 424 Extrapolation 0 32.014162 27.965050 36.063274
## 62 BE11 446 Extrapolation 0 32.320137 28.132360 36.507914
## 63 BE11 468 Extrapolation 0 32.615669 28.289641 36.941697
## 64 BE11 490 Extrapolation 0 32.901113 28.437207 37.365020
## 65 BE11 512 Extrapolation 0 33.176815 28.575311 37.778319
## 66 BE11 535 Extrapolation 0 33.454993 28.709820 38.200166
## 67 BE11 557 Extrapolation 0 33.711790 28.829259 38.594321
## 68 BE11 579 Extrapolation 0 33.959822 28.939899 38.979745
## 69 BE11 601 Extrapolation 0 34.199389 29.041967 39.356811
## 70 BE11 623 Extrapolation 0 34.430778 29.135695 39.725862
## 71 BE11 646 Extrapolation 0 34.664246 29.225035 40.103456
## 72 BE11 668 Extrapolation 0 34.879769 29.302485 40.457054
## 73 BE11 690 Extrapolation 0 35.087936 29.372375 40.803498
## 74 BE11 712 Extrapolation 0 35.288999 29.434978 41.143020
## 75 BE11 734 Extrapolation 0 35.483198 29.490570 41.475826
## 76 BE11 757 Extrapolation 0 35.679142 29.541496 41.816787
## 77 BE11 779 Extrapolation 0 35.860025 29.583619 42.136430
## 78 BE11 801 Extrapolation 0 36.034734 29.619582 42.449886
## 79 BE11 823 Extrapolation 0 36.203481 29.649661 42.757300
## 80 BE11 846 Extrapolation 0 36.373742 29.675110 43.072374
## 81 BE12 1 Rarefaction 0 1.000000 1.000000 1.000000
## 82 BE12 12 Rarefaction 0 7.345013 6.903946 7.786081
## 83 BE12 24 Rarefaction 0 10.836125 10.073645 11.598605
## 84 BE12 35 Rarefaction 0 12.944978 11.978680 13.911276
## 85 BE12 47 Rarefaction 0 14.630594 13.499231 15.761958
## 86 BE12 58 Rarefaction 0 15.821994 14.571299 17.072689
## 87 BE12 70 Rarefaction 0 16.854248 15.494971 18.213524
## 88 BE12 81 Rarefaction 0 17.616638 16.171365 19.061911
## 89 BE12 93 Rarefaction 0 18.293314 16.765168 19.821460
## 90 BE12 104 Rarefaction 0 18.800803 17.204615 20.396990
## 91 BE12 116 Rarefaction 0 19.256608 17.593131 20.920085
## 92 BE12 127 Rarefaction 0 19.602546 17.882527 21.322564
## 93 BE12 139 Rarefaction 0 19.917558 18.140298 21.694818
## 94 BE12 150 Rarefaction 0 20.160627 18.334037 21.987217
## 95 BE12 162 Rarefaction 0 20.386195 18.508240 22.264150
## 96 BE12 173 Rarefaction 0 20.563733 18.640083 22.487383
## 97 BE12 185 Rarefaction 0 20.731389 18.758427 22.704351
## 98 BE12 196 Rarefaction 0 20.864776 18.846198 22.883354
## 99 BE12 208 Rarefaction 0 20.990431 18.920579 23.060282
## 100 BE12 209 Observed 0 21.000000 18.925769 23.074231
## 101 BE12 210 Extrapolation 0 21.009433 18.930810 23.088056
## 102 BE12 220 Extrapolation 0 21.096696 18.973392 23.220000
## 103 BE12 231 Extrapolation 0 21.179299 19.005112 23.353485
## 104 BE12 242 Extrapolation 0 21.249863 19.022884 23.476843
## 105 BE12 253 Extrapolation 0 21.310144 19.028492 23.591795
## 106 BE12 264 Extrapolation 0 21.361639 19.023565 23.699712
## 107 BE12 275 Extrapolation 0 21.405629 19.009580 23.801677
## 108 BE12 286 Extrapolation 0 21.443208 18.987866 23.898550
## 109 BE12 297 Extrapolation 0 21.475310 18.959608 23.991012
## 110 BE12 308 Extrapolation 0 21.502734 18.925858 24.079609
## 111 BE12 319 Extrapolation 0 21.526160 18.887543 24.164778
## 112 BE12 330 Extrapolation 0 21.546173 18.845474 24.246872
## 113 BE12 341 Extrapolation 0 21.563269 18.800358 24.326180
## 114 BE12 352 Extrapolation 0 21.577873 18.752810 24.402936
## 115 BE12 363 Extrapolation 0 21.590349 18.703361 24.477337
## 116 BE12 374 Extrapolation 0 21.601007 18.652467 24.549546
## 117 BE12 385 Extrapolation 0 21.610111 18.600522 24.619701
## 118 BE12 396 Extrapolation 0 21.617889 18.547861 24.687917
## 119 BE12 407 Extrapolation 0 21.624533 18.494770 24.754296
## 120 BE12 418 Extrapolation 0 21.630209 18.441494 24.818923
## 121 BE13 1 Rarefaction 0 1.000000 1.000000 1.000000
## 122 BE13 19 Rarefaction 0 12.630236 12.126511 13.133960
## 123 BE13 37 Rarefaction 0 18.418019 17.383861 19.452177
## 124 BE13 56 Rarefaction 0 22.229059 20.749665 23.708453
## 125 BE13 74 Rarefaction 0 24.851477 23.016654 26.686300
## 126 BE13 92 Rarefaction 0 26.959730 24.812585 29.106874
## 127 BE13 111 Rarefaction 0 28.848596 26.406233 31.290960
## 128 BE13 129 Rarefaction 0 30.427141 27.730441 33.123840
## 129 BE13 148 Rarefaction 0 31.933919 28.989913 34.877926
## 130 BE13 166 Rarefaction 0 33.243929 30.081539 36.406318
## 131 BE13 184 Rarefaction 0 34.459533 31.090811 37.828255
## 132 BE13 203 Rarefaction 0 35.654192 32.077487 39.230898
## 133 BE13 221 Rarefaction 0 36.711440 32.944243 40.478636
## 134 BE13 240 Rarefaction 0 37.756304 33.792306 41.720303
## 135 BE13 258 Rarefaction 0 38.684490 34.535881 42.833099
## 136 BE13 276 Rarefaction 0 39.557362 35.223960 43.890764
## 137 BE13 295 Rarefaction 0 40.423182 35.892548 44.953816
## 138 BE13 313 Rarefaction 0 41.194588 36.473281 45.915895
## 139 BE13 332 Rarefaction 0 41.960961 37.032552 46.889370
## 140 BE13 333 Observed 0 42.000000 37.060491 46.939509
## 141 BE13 334 Extrapolation 0 42.038913 37.088282 46.989544
## 142 BE13 351 Extrapolation 0 42.681509 37.538501 47.824517
## 143 BE13 368 Extrapolation 0 43.289684 37.948073 48.631294
## 144 BE13 386 Extrapolation 0 43.898162 38.339694 49.456630
## 145 BE13 403 Extrapolation 0 44.441165 38.672053 50.210277
## 146 BE13 421 Extrapolation 0 44.984440 38.986656 50.982223
## 147 BE13 438 Extrapolation 0 45.469255 39.250770 51.687739
## 148 BE13 456 Extrapolation 0 45.954312 39.497819 52.410805
## 149 BE13 473 Extrapolation 0 46.387175 39.702464 53.071885
## 150 BE13 491 Extrapolation 0 46.820254 39.890966 53.749542
## 151 BE13 508 Extrapolation 0 47.206731 40.044301 54.369160
## 152 BE13 526 Extrapolation 0 47.593401 40.182470 55.004332
## 153 BE13 543 Extrapolation 0 47.938464 40.291825 55.585102
## 154 BE13 561 Extrapolation 0 48.283699 40.386953 56.180444
## 155 BE13 578 Extrapolation 0 48.591784 40.458770 56.724799
## 156 BE13 596 Extrapolation 0 48.900024 40.517220 57.282829
## 157 BE13 613 Extrapolation 0 49.175096 40.557091 57.793100
## 158 BE13 631 Extrapolation 0 49.450305 40.584362 58.316247
## 159 BE13 648 Extrapolation 0 49.695900 40.597107 58.794692
## 160 BE13 666 Extrapolation 0 49.941617 40.597930 59.285305
## 161 BE14 1 Rarefaction 0 1.000000 1.000000 1.000000
## 162 BE14 20 Rarefaction 0 13.090894 12.409245 13.772543
## 163 BE14 40 Rarefaction 0 19.715451 18.394054 21.036848
## 164 BE14 60 Rarefaction 0 24.044829 22.238708 25.850949
## 165 BE14 79 Rarefaction 0 27.113808 24.945249 29.282368
## 166 BE14 99 Rarefaction 0 29.707403 27.228117 32.186689
## 167 BE14 119 Rarefaction 0 31.874377 29.133850 34.614904
## 168 BE14 138 Rarefaction 0 33.653495 30.696131 36.610860
## 169 BE14 158 Rarefaction 0 35.306797 32.143610 38.469983
## 170 BE14 178 Rarefaction 0 36.786473 33.432635 40.140311
## 171 BE14 197 Rarefaction 0 38.065288 34.538960 41.591615
## 172 BE14 217 Rarefaction 0 39.303941 35.600836 43.007046
## 173 BE14 237 Rarefaction 0 40.452149 36.573888 44.330410
## 174 BE14 256 Rarefaction 0 41.472750 37.427359 45.518141
## 175 BE14 276 Rarefaction 0 42.483624 38.259874 46.707373
## 176 BE14 296 Rarefaction 0 43.437131 39.031358 47.842904
## 177 BE14 315 Rarefaction 0 44.294857 39.712017 48.877696
## 178 BE14 335 Rarefaction 0 45.150687 40.376499 49.924875
## 179 BE14 355 Rarefaction 0 45.960674 40.989454 50.931895
## 180 BE14 356 Observed 0 46.000000 41.018766 50.981234
## 181 BE14 357 Extrapolation 0 46.039215 41.047953 51.030478
## 182 BE14 375 Extrapolation 0 46.726552 41.551936 51.901169
## 183 BE14 394 Extrapolation 0 47.415292 42.041100 52.789485
## 184 BE14 413 Extrapolation 0 48.068189 42.488081 53.648297
## 185 BE14 431 Extrapolation 0 48.655350 42.874395 54.436305
## 186 BE14 450 Extrapolation 0 49.243710 43.244922 55.242499
## 187 BE14 469 Extrapolation 0 49.801451 43.579255 56.023646
## 188 BE14 487 Extrapolation 0 50.303037 43.864521 56.741552
## 189 BE14 506 Extrapolation 0 50.805647 44.134425 57.476869
## 190 BE14 525 Extrapolation 0 51.282100 44.374293 58.189906
## 191 BE14 543 Extrapolation 0 51.710582 44.575641 58.845524
## 192 BE14 562 Extrapolation 0 52.139940 44.762674 59.517205
## 193 BE14 581 Extrapolation 0 52.546952 44.925320 60.168585
## 194 BE14 599 Extrapolation 0 52.912986 45.058487 60.767485
## 195 BE14 618 Extrapolation 0 53.279767 45.178550 61.380985
## 196 BE14 637 Extrapolation 0 53.627460 45.279080 61.975840
## 197 BE14 655 Extrapolation 0 53.940146 45.357625 62.522668
## 198 BE14 674 Extrapolation 0 54.253471 45.424221 63.082722
## 199 BE14 693 Extrapolation 0 54.550490 45.475321 63.625659
## 200 BE14 712 Extrapolation 0 54.832051 45.512123 64.151979
## 201 BE15 1 Rarefaction 0 1.000000 1.000000 1.000000
## 202 BE15 9 Rarefaction 0 7.814112 7.607863 8.020360
## 203 BE15 18 Rarefaction 0 13.581021 12.956719 14.205323
## 204 BE15 26 Rarefaction 0 17.562965 16.547861 18.578069
## 205 BE15 35 Rarefaction 0 21.159334 19.736453 22.582215
## 206 BE15 44 Rarefaction 0 24.092468 22.307806 25.877130
## 207 BE15 52 Rarefaction 0 26.293249 24.224688 28.361811
## 208 BE15 61 Rarefaction 0 28.424764 26.074529 30.774998
## 209 BE15 69 Rarefaction 0 30.080357 27.508501 32.652212
## 210 BE15 78 Rarefaction 0 31.730038 28.935370 34.524705
## 211 BE15 87 Rarefaction 0 33.197592 30.201939 36.193246
## 212 BE15 95 Rarefaction 0 34.376523 31.215384 37.537662
## 213 BE15 104 Rarefaction 0 35.585023 32.247008 38.923037
## 214 BE15 112 Rarefaction 0 36.570246 33.078928 40.061563
## 215 BE15 121 Rarefaction 0 37.593139 33.929264 41.257015
## 216 BE15 130 Rarefaction 0 38.537964 34.697411 42.378518
## 217 BE15 138 Rarefaction 0 39.320806 35.317032 43.324581
## 218 BE15 147 Rarefaction 0 40.145276 35.948659 44.341894
## 219 BE15 156 Rarefaction 0 40.917197 36.516364 45.318031
## 220 BE15 157 Observed 0 41.000000 36.575727 45.424273
## 221 BE15 158 Extrapolation 0 41.082235 36.634369 45.530101
## 222 BE15 166 Extrapolation 0 41.720138 37.077956 46.362321
## 223 BE15 174 Extrapolation 0 42.323882 37.477419 47.170344
## 224 BE15 182 Extrapolation 0 42.895295 37.834738 47.955852
## 225 BE15 190 Extrapolation 0 43.436109 38.152030 48.720187
## 226 BE15 199 Extrapolation 0 44.009986 38.463882 49.556090
## 227 BE15 207 Extrapolation 0 44.491108 38.703459 50.278757
## 228 BE15 215 Extrapolation 0 44.946466 38.909928 50.983005
## 229 BE15 223 Extrapolation 0 45.377440 39.085446 51.669435
## 230 BE15 231 Extrapolation 0 45.785336 39.232093 52.338578
## 231 BE15 240 Extrapolation 0 46.218168 39.365034 53.071301
## 232 BE15 248 Extrapolation 0 46.581042 39.456808 53.705276
## 233 BE15 256 Extrapolation 0 46.924485 39.525584 54.323385
## 234 BE15 264 Extrapolation 0 47.249536 39.573024 54.926047
## 235 BE15 272 Extrapolation 0 47.557180 39.600687 55.513674
## 236 BE15 281 Extrapolation 0 47.883633 39.609978 56.157288
## 237 BE15 289 Extrapolation 0 48.157322 39.600332 56.714312
## 238 BE15 297 Extrapolation 0 48.416355 39.575150 57.257559
## 239 BE15 305 Extrapolation 0 48.661516 39.535605 57.787427
## 240 BE15 314 Extrapolation 0 48.921666 39.475310 58.368022
## 241 BE16 1 Rarefaction 0 1.000000 1.000000 1.000000
## 242 BE16 20 Rarefaction 0 9.838871 9.291945 10.385796
## 243 BE16 39 Rarefaction 0 13.870646 12.926121 14.815171
## 244 BE16 58 Rarefaction 0 16.410256 15.146740 17.673772
## 245 BE16 77 Rarefaction 0 18.170957 16.653526 19.688388
## 246 BE16 97 Rarefaction 0 19.523013 17.792186 21.253839
## 247 BE16 116 Rarefaction 0 20.500838 18.602864 22.398812
## 248 BE16 135 Rarefaction 0 21.275369 19.233445 23.317292
## 249 BE16 154 Rarefaction 0 21.904830 19.734567 24.075092
## 250 BE16 174 Rarefaction 0 22.452784 20.158870 24.746698
## 251 BE16 193 Rarefaction 0 22.891794 20.487969 25.295620
## 252 BE16 212 Rarefaction 0 23.270094 20.761650 25.778537
## 253 BE16 231 Rarefaction 0 23.600869 20.991799 26.209939
## 254 BE16 250 Rarefaction 0 23.893699 21.187134 26.600263
## 255 BE16 270 Rarefaction 0 24.168590 21.362121 26.975058
## 256 BE16 289 Rarefaction 0 24.403287 21.503989 27.302585
## 257 BE16 308 Rarefaction 0 24.615804 21.625239 27.606370
## 258 BE16 327 Rarefaction 0 24.808491 21.727731 27.889252
## 259 BE16 347 Rarefaction 0 24.991379 21.816214 28.166544
## 260 BE16 348 Observed 0 25.000000 21.820116 28.179884
## 261 BE16 349 Extrapolation 0 25.008571 21.823758 28.193384
## 262 BE16 367 Extrapolation 0 25.154722 21.881174 28.428269
## 263 BE16 385 Extrapolation 0 25.286509 21.924018 28.649000
## 264 BE16 403 Extrapolation 0 25.405344 21.953551 28.857137
## 265 BE16 422 Extrapolation 0 25.518135 21.971685 29.064585
## 266 BE16 440 Extrapolation 0 25.614207 21.977796 29.250617
## 267 BE16 458 Extrapolation 0 25.700837 21.974329 29.427345
## 268 BE16 476 Extrapolation 0 25.778953 21.962376 29.595530
## 269 BE16 495 Extrapolation 0 25.853096 21.941668 29.764524
## 270 BE16 513 Extrapolation 0 25.916248 21.915351 29.917145
## 271 BE16 531 Extrapolation 0 25.973195 21.883372 30.063017
## 272 BE16 549 Extrapolation 0 26.024544 21.846488 30.202600
## 273 BE16 568 Extrapolation 0 26.073282 21.802987 30.343576
## 274 BE16 586 Extrapolation 0 26.114795 21.758090 30.471500
## 275 BE16 604 Extrapolation 0 26.152228 21.710163 30.594294
## 276 BE16 622 Extrapolation 0 26.185983 21.659694 30.712272
## 277 BE16 641 Extrapolation 0 26.218021 21.604144 30.831897
## 278 BE16 659 Extrapolation 0 26.245309 21.549763 30.940856
## 279 BE16 677 Extrapolation 0 26.269916 21.494024 31.045808
## 280 BE16 696 Extrapolation 0 26.293271 21.434049 31.152494
## 281 BE17 1 Rarefaction 0 1.000000 1.000000 1.000000
## 282 BE17 12 Rarefaction 0 9.239218 8.922475 9.555961
## 283 BE17 24 Rarefaction 0 14.739250 13.957987 15.520513
## 284 BE17 35 Rarefaction 0 18.171689 17.048482 19.294895
## 285 BE17 47 Rarefaction 0 20.939536 19.538931 22.340141
## 286 BE17 58 Rarefaction 0 22.907156 21.318590 24.495722
## 287 BE17 70 Rarefaction 0 24.622764 22.880283 26.365244
## 288 BE17 81 Rarefaction 0 25.898287 24.047653 27.748922
## 289 BE17 93 Rarefaction 0 27.036050 25.092170 28.979930
## 290 BE17 104 Rarefaction 0 27.890092 25.876384 29.903799
## 291 BE17 116 Rarefaction 0 28.652185 26.573873 30.730497
## 292 BE17 127 Rarefaction 0 29.220580 27.090287 31.350872
## 293 BE17 139 Rarefaction 0 29.721365 27.539635 31.903096
## 294 BE17 150 Rarefaction 0 30.087637 27.861856 32.313417
## 295 BE17 162 Rarefaction 0 30.401422 28.129374 32.673469
## 296 BE17 173 Rarefaction 0 30.621954 28.307816 32.936092
## 297 BE17 185 Rarefaction 0 30.800304 28.439112 33.161495
## 298 BE17 196 Rarefaction 0 30.915086 28.508370 33.321802
## 299 BE17 208 Rarefaction 0 30.995215 28.534712 33.455719
## 300 BE17 209 Observed 0 31.000000 28.534773 33.465227
## 301 BE17 210 Extrapolation 0 31.004524 28.534551 33.474497
## 302 BE17 220 Extrapolation 0 31.038186 28.519412 33.556959
## 303 BE17 231 Extrapolation 0 31.058789 28.483243 33.634336
## 304 BE17 242 Extrapolation 0 31.069907 28.434297 33.705517
## 305 BE17 253 Extrapolation 0 31.075905 28.377200 33.774610
## 306 BE17 264 Extrapolation 0 31.079142 28.314728 33.843555
## 307 BE17 275 Extrapolation 0 31.080888 28.248627 33.913149
## 308 BE17 286 Extrapolation 0 31.081830 28.180055 33.983605
## 309 BE17 297 Extrapolation 0 31.082339 28.109822 34.054855
## 310 BE17 308 Extrapolation 0 31.082613 28.038520 34.126706
## 311 BE17 319 Extrapolation 0 31.082761 27.966597 34.198926
## 312 BE17 330 Extrapolation 0 31.082841 27.894398 34.271284
## 313 BE17 341 Extrapolation 0 31.082884 27.822199 34.343569
## 314 BE17 352 Extrapolation 0 31.082907 27.750215 34.415600
## 315 BE17 363 Extrapolation 0 31.082920 27.678619 34.487221
## 316 BE17 374 Extrapolation 0 31.082927 27.607548 34.558305
## 317 BE17 385 Extrapolation 0 31.082930 27.537112 34.628749
## 318 BE17 396 Extrapolation 0 31.082932 27.467396 34.698469
## 319 BE17 407 Extrapolation 0 31.082933 27.398467 34.767400
## 320 BE17 418 Extrapolation 0 31.082934 27.330377 34.835491
## 321 BE18 1 Rarefaction 0 1.000000 1.000000 1.000000
## 322 BE18 21 Rarefaction 0 12.112884 11.432392 12.793375
## 323 BE18 41 Rarefaction 0 18.210635 16.941891 19.479379
## 324 BE18 62 Rarefaction 0 22.736555 20.921352 24.551758
## 325 BE18 82 Rarefaction 0 26.072384 23.803649 28.341120
## 326 BE18 103 Rarefaction 0 28.939061 26.253143 31.624979
## 327 BE18 123 Rarefaction 0 31.252803 28.211709 34.293896
## 328 BE18 144 Rarefaction 0 33.362580 29.979919 36.745242
## 329 BE18 164 Rarefaction 0 35.137727 31.450383 38.825071
## 330 BE18 185 Rarefaction 0 36.807405 32.814444 40.800366
## 331 BE18 205 Rarefaction 0 38.247899 33.972415 42.523383
## 332 BE18 225 Rarefaction 0 39.568693 35.015379 44.122006
## 333 BE18 246 Rarefaction 0 40.848993 36.006191 45.691795
## 334 BE18 266 Rarefaction 0 41.984018 36.865733 47.102303
## 335 BE18 287 Rarefaction 0 43.102250 37.693534 48.510965
## 336 BE18 307 Rarefaction 0 44.108755 38.421425 49.796085
## 337 BE18 328 Rarefaction 0 45.114332 39.131688 51.096977
## 338 BE18 348 Rarefaction 0 46.030936 39.763960 52.297911
## 339 BE18 369 Rarefaction 0 46.956757 40.387613 53.525900
## 340 BE18 370 Observed 0 47.000000 40.416369 53.583631
## 341 BE18 371 Extrapolation 0 47.043170 40.445042 53.641298
## 342 BE18 390 Extrapolation 0 47.849673 40.974241 54.725105
## 343 BE18 409 Extrapolation 0 48.630655 41.474149 55.787162
## 344 BE18 429 Extrapolation 0 49.426060 41.969337 56.882782
## 345 BE18 448 Extrapolation 0 50.157161 42.410985 57.903336
## 346 BE18 468 Extrapolation 0 50.901762 42.846444 58.957081
## 347 BE18 487 Extrapolation 0 51.586168 43.233061 59.939275
## 348 BE18 506 Extrapolation 0 52.248917 43.594237 60.903597
## 349 BE18 526 Extrapolation 0 52.923905 43.947999 61.899810
## 350 BE18 545 Extrapolation 0 53.544324 44.260011 62.828637
## 351 BE18 565 Extrapolation 0 54.176200 44.564241 63.788158
## 352 BE18 584 Extrapolation 0 54.756993 44.831321 64.682664
## 353 BE18 604 Extrapolation 0 55.348510 45.090483 65.606538
## 354 BE18 623 Extrapolation 0 55.892208 45.316836 66.467580
## 355 BE18 642 Extrapolation 0 56.418702 45.524821 67.312583
## 356 BE18 662 Extrapolation 0 56.954917 45.724929 68.184906
## 357 BE18 681 Extrapolation 0 57.447784 45.898085 68.997482
## 358 BE18 701 Extrapolation 0 57.949751 46.063480 69.836022
## 359 BE18 720 Extrapolation 0 58.411138 46.205437 70.616840
## 360 BE18 740 Extrapolation 0 58.881045 46.339779 71.422311
## 361 BE19 1 Rarefaction 0 1.000000 1.000000 1.000000
## 362 BE19 20 Rarefaction 0 11.653124 10.883599 12.422648
## 363 BE19 39 Rarefaction 0 17.536342 16.180180 18.892503
## 364 BE19 58 Rarefaction 0 21.624550 19.842112 23.406989
## 365 BE19 77 Rarefaction 0 24.681593 22.586569 26.776618
## 366 BE19 96 Rarefaction 0 27.060479 24.732726 29.388231
## 367 BE19 115 Rarefaction 0 28.957737 26.451075 31.464399
## 368 BE19 134 Rarefaction 0 30.494614 27.843796 33.145433
## 369 BE19 153 Rarefaction 0 31.751758 28.978657 34.524858
## 370 BE19 172 Rarefaction 0 32.786321 29.904787 35.667856
## 371 BE19 191 Rarefaction 0 33.640998 30.660261 36.621735
## 372 BE19 210 Rarefaction 0 34.349033 31.275879 37.422188
## 373 BE19 229 Rarefaction 0 34.937175 31.777188 38.097161
## 374 BE19 248 Rarefaction 0 35.427491 32.185675 38.669307
## 375 BE19 267 Rarefaction 0 35.838555 32.519562 39.157548
## 376 BE19 286 Rarefaction 0 36.186226 32.794372 39.578081
## 377 BE19 305 Rarefaction 0 36.484182 33.023341 39.945024
## 378 BE19 324 Rarefaction 0 36.744274 33.217712 40.270836
## 379 BE19 344 Rarefaction 0 36.988406 33.395301 40.581511
## 380 BE19 345 Observed 0 37.000000 33.403619 40.596381
## 381 BE19 346 Extrapolation 0 37.011544 33.411889 40.611199
## 382 BE19 364 Extrapolation 0 37.210970 33.552483 40.869458
## 383 BE19 382 Extrapolation 0 37.395374 33.677519 41.113230
## 384 BE19 400 Extrapolation 0 37.565887 33.787356 41.344419
## 385 BE19 418 Extrapolation 0 37.723556 33.882609 41.564502
## 386 BE19 436 Extrapolation 0 37.869347 33.964070 41.774624
## 387 BE19 454 Extrapolation 0 38.004156 34.032641 41.975670
## 388 BE19 472 Extrapolation 0 38.128809 34.089281 42.168338
## 389 BE19 490 Extrapolation 0 38.244073 34.134960 42.353186
## 390 BE19 508 Extrapolation 0 38.350654 34.170634 42.530674
## 391 BE19 527 Extrapolation 0 38.454458 34.198446 42.710470
## 392 BE19 545 Extrapolation 0 38.545191 34.216375 42.874007
## 393 BE19 563 Extrapolation 0 38.629089 34.226931 43.031246
## 394 BE19 581 Extrapolation 0 38.706667 34.230860 43.182473
## 395 BE19 599 Extrapolation 0 38.778401 34.228844 43.327958
## 396 BE19 617 Extrapolation 0 38.844731 34.221506 43.467956
## 397 BE19 635 Extrapolation 0 38.906065 34.209413 43.602716
## 398 BE19 653 Extrapolation 0 38.962778 34.193081 43.732475
## 399 BE19 671 Extrapolation 0 39.015219 34.172974 43.857465
## 400 BE19 690 Extrapolation 0 39.066295 34.148118 43.984471
## 401 BE2 1 Rarefaction 0 1.000000 1.000000 1.000000
## 402 BE2 25 Rarefaction 0 13.023076 12.296658 13.749494
## 403 BE2 49 Rarefaction 0 17.407399 16.153944 18.660854
## 404 BE2 73 Rarefaction 0 19.980530 18.387162 21.573897
## 405 BE2 97 Rarefaction 0 21.838222 20.009214 23.667230
## 406 BE2 121 Rarefaction 0 23.304229 21.302423 25.306035
## 407 BE2 145 Rarefaction 0 24.518636 22.383413 26.653859
## 408 BE2 169 Rarefaction 0 25.557721 23.313800 27.801642
## 409 BE2 193 Rarefaction 0 26.467683 24.130512 28.804854
## 410 BE2 217 Rarefaction 0 27.278150 24.857450 29.698851
## 411 BE2 241 Rarefaction 0 28.008871 25.510951 30.506792
## 412 BE2 265 Rarefaction 0 28.673349 26.102578 31.244120
## 413 BE2 289 Rarefaction 0 29.280941 26.640656 31.921227
## 414 BE2 313 Rarefaction 0 29.838156 27.131177 32.545135
## 415 BE2 337 Rarefaction 0 30.349501 27.578390 33.120612
## 416 BE2 361 Rarefaction 0 30.818092 27.985226 33.650957
## 417 BE2 385 Rarefaction 0 31.246090 28.353608 34.138572
## 418 BE2 409 Rarefaction 0 31.635050 28.684706 34.585394
## 419 BE2 433 Rarefaction 0 31.986175 28.979133 34.993218
## 420 BE2 434 Observed 0 32.000000 28.990609 35.009391
## 421 BE2 435 Extrapolation 0 32.013761 29.001820 35.025703
## 422 BE2 457 Extrapolation 0 32.301007 29.232540 35.369473
## 423 BE2 480 Extrapolation 0 32.571742 29.442286 35.701198
## 424 BE2 503 Extrapolation 0 32.815250 29.621719 36.008780
## 425 BE2 526 Extrapolation 0 33.034269 29.772883 36.295655
## 426 BE2 548 Extrapolation 0 33.223124 29.892984 36.553264
## 427 BE2 571 Extrapolation 0 33.401124 29.995010 36.807239
## 428 BE2 594 Extrapolation 0 33.561224 30.075065 37.047382
## 429 BE2 617 Extrapolation 0 33.705222 30.135195 37.275249
## 430 BE2 640 Extrapolation 0 33.834739 30.177349 37.492129
## 431 BE2 662 Extrapolation 0 33.946419 30.202539 37.690298
## 432 BE2 685 Extrapolation 0 34.051680 30.214702 37.888657
## 433 BE2 708 Extrapolation 0 34.146354 30.213931 38.078778
## 434 BE2 731 Extrapolation 0 34.231508 30.201674 38.261342
## 435 BE2 754 Extrapolation 0 34.308098 30.179251 38.436945
## 436 BE2 776 Extrapolation 0 34.374140 30.149395 38.598884
## 437 BE2 799 Extrapolation 0 34.436386 30.110439 38.762332
## 438 BE2 822 Extrapolation 0 34.492372 30.064532 38.920211
## 439 BE2 845 Extrapolation 0 34.542727 30.012557 39.072897
## 440 BE2 868 Extrapolation 0 34.588019 29.955304 39.220733
## 441 BE20 1 Rarefaction 0 1.000000 1.000000 1.000000
## 442 BE20 9 Rarefaction 0 4.998871 4.537811 5.459930
## 443 BE20 17 Rarefaction 0 7.549573 6.814432 8.284713
## 444 BE20 25 Rarefaction 0 9.491694 8.502734 10.480653
## 445 BE20 33 Rarefaction 0 11.025323 9.780664 12.269982
## 446 BE20 41 Rarefaction 0 12.273575 10.770708 13.776442
## 447 BE20 50 Rarefaction 0 13.433704 11.640466 15.226942
## 448 BE20 58 Rarefaction 0 14.304538 12.255953 16.353124
## 449 BE20 66 Rarefaction 0 15.061033 12.761454 17.360612
## 450 BE20 74 Rarefaction 0 15.728438 13.183159 18.273717
## 451 BE20 82 Rarefaction 0 16.325805 13.540467 19.111144
## 452 BE20 90 Rarefaction 0 16.867926 13.848087 19.887766
## 453 BE20 99 Rarefaction 0 17.426259 14.148814 20.703704
## 454 BE20 107 Rarefaction 0 17.886975 14.385523 21.388426
## 455 BE20 115 Rarefaction 0 18.321915 14.600582 22.043247
## 456 BE20 123 Rarefaction 0 18.737000 14.799386 22.674614
## 457 BE20 131 Rarefaction 0 19.136982 14.986197 23.287767
## 458 BE20 139 Rarefaction 0 19.525643 15.164345 23.886942
## 459 BE20 148 Rarefaction 0 19.953020 15.357536 24.548504
## 460 BE20 149 Observed 0 20.000000 15.378643 24.621357
## 461 BE20 150 Extrapolation 0 20.046889 15.399681 24.694098
## 462 BE20 157 Extrapolation 0 20.372595 15.544965 25.200225
## 463 BE20 165 Extrapolation 0 20.739485 15.706598 25.772372
## 464 BE20 173 Extrapolation 0 21.100758 15.863326 26.338189
## 465 BE20 181 Extrapolation 0 21.456499 16.014994 26.898004
## 466 BE20 188 Extrapolation 0 21.763302 16.143474 27.383130
## 467 BE20 196 Extrapolation 0 22.108900 16.285428 27.932371
## 468 BE20 204 Extrapolation 0 22.449206 16.422169 28.476242
## 469 BE20 212 Extrapolation 0 22.784301 16.553726 29.014876
## 470 BE20 220 Extrapolation 0 23.114267 16.680160 29.548373
## 471 BE20 227 Extrapolation 0 23.398839 16.786653 30.011025
## 472 BE20 235 Extrapolation 0 23.719395 16.903728 30.535063
## 473 BE20 243 Extrapolation 0 24.035044 17.015976 31.054111
## 474 BE20 251 Extrapolation 0 24.345859 17.123530 31.568189
## 475 BE20 259 Extrapolation 0 24.651916 17.226529 32.077302
## 476 BE20 266 Extrapolation 0 24.915869 17.313032 32.518705
## 477 BE20 274 Extrapolation 0 25.213198 17.407888 33.018508
## 478 BE20 282 Extrapolation 0 25.505975 17.498617 33.513334
## 479 BE20 290 Extrapolation 0 25.794270 17.585368 34.003171
## 480 BE20 298 Extrapolation 0 26.078150 17.668291 34.488009
## 481 BE21 1 Rarefaction 0 1.000000 1.000000 1.000000
## 482 BE21 21 Rarefaction 0 13.115679 12.503641 13.727716
## 483 BE21 42 Rarefaction 0 19.201210 18.123050 20.279370
## 484 BE21 63 Rarefaction 0 22.873653 21.478995 24.268311
## 485 BE21 83 Rarefaction 0 25.261995 23.605976 26.918013
## 486 BE21 104 Rarefaction 0 27.101914 25.181468 29.022359
## 487 BE21 125 Rarefaction 0 28.509440 26.330434 30.688445
## 488 BE21 145 Rarefaction 0 29.577591 27.161115 31.994068
## 489 BE21 166 Rarefaction 0 30.494988 27.842412 33.147563
## 490 BE21 187 Rarefaction 0 31.257564 28.385058 34.130071
## 491 BE21 207 Rarefaction 0 31.874714 28.808662 34.940766
## 492 BE21 228 Rarefaction 0 32.434287 29.181369 35.687204
## 493 BE21 249 Rarefaction 0 32.922967 29.498690 36.347244
## 494 BE21 269 Rarefaction 0 33.336297 29.761551 36.911042
## 495 BE21 290 Rarefaction 0 33.726760 30.005279 37.448241
## 496 BE21 311 Rarefaction 0 34.081608 30.222549 37.940667
## 497 BE21 331 Rarefaction 0 34.393189 30.409285 38.377093
## 498 BE21 352 Rarefaction 0 34.698527 30.587484 38.809571
## 499 BE21 373 Rarefaction 0 34.986631 30.749811 39.223451
## 500 BE21 374 Observed 0 35.000000 30.757177 39.242823
## 501 BE21 375 Extrapolation 0 35.013340 30.764510 39.262171
## 502 BE21 394 Extrapolation 0 35.261452 30.897323 39.625581
## 503 BE21 414 Extrapolation 0 35.511937 31.023602 40.000272
## 504 BE21 433 Extrapolation 0 35.740160 31.130632 40.349687
## 505 BE21 453 Extrapolation 0 35.970566 31.229781 40.711351
## 506 BE21 473 Extrapolation 0 36.191308 31.315339 41.067277
## 507 BE21 492 Extrapolation 0 36.392431 31.384400 41.400461
## 508 BE21 512 Extrapolation 0 36.595478 31.444722 41.746234
## 509 BE21 532 Extrapolation 0 36.790008 31.492921 42.087096
## 510 BE21 551 Extrapolation 0 36.967249 31.528048 42.406450
## 511 BE21 571 Extrapolation 0 37.146186 31.554422 42.737949
## 512 BE21 590 Extrapolation 0 37.309219 31.569993 43.048444
## 513 BE21 610 Extrapolation 0 37.473812 31.577023 43.370601
## 514 BE21 630 Extrapolation 0 37.631501 31.575077 43.687925
## 515 BE21 649 Extrapolation 0 37.775175 31.565475 43.984874
## 516 BE21 669 Extrapolation 0 37.920223 31.547772 44.292675
## 517 BE21 689 Extrapolation 0 38.059188 31.522830 44.595546
## 518 BE21 708 Extrapolation 0 38.185802 31.492914 44.878689
## 519 BE21 728 Extrapolation 0 38.313627 31.455357 45.171897
## 520 BE21 748 Extrapolation 0 38.436091 31.412042 45.460139
## 521 BE22 1 Rarefaction 0 1.000000 1.000000 1.000000
## 522 BE22 13 Rarefaction 0 7.899465 7.453756 8.345173
## 523 BE22 26 Rarefaction 0 11.603777 10.815910 12.391643
## 524 BE22 39 Rarefaction 0 13.950397 12.920892 14.979901
## 525 BE22 52 Rarefaction 0 15.644976 14.429901 16.860051
## 526 BE22 64 Rarefaction 0 16.872635 15.510981 18.234288
## 527 BE22 77 Rarefaction 0 17.957380 16.450535 19.464226
## 528 BE22 90 Rarefaction 0 18.852567 17.209681 20.495454
## 529 BE22 103 Rarefaction 0 19.599490 17.828365 21.370616
## 530 BE22 116 Rarefaction 0 20.226705 18.334864 22.118546
## 531 BE22 128 Rarefaction 0 20.718151 18.721263 22.715039
## 532 BE22 141 Rarefaction 0 21.171919 19.067491 23.276348
## 533 BE22 154 Rarefaction 0 21.557731 19.351268 23.764194
## 534 BE22 167 Rarefaction 0 21.887440 19.583227 24.191654
## 535 BE22 179 Rarefaction 0 22.150670 19.758933 24.542407
## 536 BE22 192 Rarefaction 0 22.399347 19.914611 24.884082
## 537 BE22 205 Rarefaction 0 22.617351 20.040508 25.194193
## 538 BE22 218 Rarefaction 0 22.811278 20.142386 25.480170
## 539 BE22 231 Rarefaction 0 22.987069 20.225540 25.748598
## 540 BE22 232 Observed 0 23.000000 20.231305 25.768695
## 541 BE22 233 Extrapolation 0 23.012857 20.236982 25.788731
## 542 BE22 245 Extrapolation 0 23.161503 20.298305 26.024701
## 543 BE22 257 Extrapolation 0 23.300229 20.347506 26.252953
## 544 BE22 269 Extrapolation 0 23.429698 20.385339 26.474057
## 545 BE22 281 Extrapolation 0 23.550527 20.412657 26.688397
## 546 BE22 293 Extrapolation 0 23.663292 20.430345 26.896239
## 547 BE22 305 Extrapolation 0 23.768532 20.439281 27.097784
## 548 BE22 318 Extrapolation 0 23.874632 20.440054 27.309209
## 549 BE22 330 Extrapolation 0 23.965768 20.433389 27.498147
## 550 BE22 342 Extrapolation 0 24.050823 20.420388 27.681258
## 551 BE22 354 Extrapolation 0 24.130201 20.401718 27.858685
## 552 BE22 366 Extrapolation 0 24.204283 20.377989 28.030577
## 553 BE22 378 Extrapolation 0 24.273420 20.349757 28.197084
## 554 BE22 391 Extrapolation 0 24.343123 20.314674 28.371571
## 555 BE22 403 Extrapolation 0 24.402995 20.278626 28.527364
## 556 BE22 415 Extrapolation 0 24.458872 20.239484 28.678260
## 557 BE22 427 Extrapolation 0 24.511020 20.197618 28.824422
## 558 BE22 439 Extrapolation 0 24.559688 20.153365 28.966010
## 559 BE22 451 Extrapolation 0 24.605108 20.107028 29.103187
## 560 BE22 464 Extrapolation 0 24.650899 20.054796 29.247002
## 561 BE23 1 Rarefaction 0 1.000000 1.000000 1.000000
## 562 BE23 13 Rarefaction 0 7.303662 6.815329 7.791994
## 563 BE23 25 Rarefaction 0 10.396894 9.583033 11.210756
## 564 BE23 37 Rarefaction 0 12.413750 11.301608 13.525892
## 565 BE23 49 Rarefaction 0 13.902563 12.556611 15.248515
## 566 BE23 62 Rarefaction 0 15.168013 13.629428 16.706599
## 567 BE23 74 Rarefaction 0 16.118072 14.437494 17.798649
## 568 BE23 86 Rarefaction 0 16.910940 15.107829 18.714051
## 569 BE23 98 Rarefaction 0 17.578553 15.663194 19.493912
## 570 BE23 111 Rarefaction 0 18.187333 16.155969 20.218698
## 571 BE23 123 Rarefaction 0 18.663242 16.527145 20.799340
## 572 BE23 135 Rarefaction 0 19.072157 16.832378 21.311937
## 573 BE23 147 Rarefaction 0 19.426951 17.084096 21.769806
## 574 BE23 159 Rarefaction 0 19.738685 17.293186 22.184183
## 575 BE23 172 Rarefaction 0 20.038857 17.482467 22.595247
## 576 BE23 184 Rarefaction 0 20.290118 17.631371 22.948865
## 577 BE23 196 Rarefaction 0 20.523969 17.762447 23.285492
## 578 BE23 208 Rarefaction 0 20.746715 17.881439 23.611991
## 579 BE23 221 Rarefaction 0 20.981982 18.002405 23.961559
## 580 BE23 222 Observed 0 21.000000 18.011522 23.988478
## 581 BE23 223 Extrapolation 0 21.017964 18.020573 24.015355
## 582 BE23 234 Extrapolation 0 21.212036 18.115814 24.308257
## 583 BE23 246 Extrapolation 0 21.416544 18.210942 24.622147
## 584 BE23 257 Extrapolation 0 21.597627 18.290449 24.904805
## 585 BE23 269 Extrapolation 0 21.788447 18.369188 25.207706
## 586 BE23 281 Extrapolation 0 21.972493 18.439995 25.504992
## 587 BE23 292 Extrapolation 0 22.135458 18.498278 25.772637
## 588 BE23 304 Extrapolation 0 22.307185 18.554997 26.059374
## 589 BE23 316 Extrapolation 0 22.472817 18.604912 26.340722
## 590 BE23 327 Extrapolation 0 22.619476 18.644995 26.593957
## 591 BE23 339 Extrapolation 0 22.774021 18.682849 26.865193
## 592 BE23 350 Extrapolation 0 22.910864 18.712438 27.109290
## 593 BE23 362 Extrapolation 0 23.055065 18.739434 27.370697
## 594 BE23 374 Extrapolation 0 23.194148 18.761213 27.627082
## 595 BE23 385 Extrapolation 0 23.317299 18.776845 27.857752
## 596 BE23 397 Extrapolation 0 23.447072 18.789432 28.104712
## 597 BE23 409 Extrapolation 0 23.572239 18.797623 28.346855
## 598 BE23 420 Extrapolation 0 23.683068 18.801489 28.564647
## 599 BE23 432 Extrapolation 0 23.799857 18.801963 28.797750
## 600 BE23 444 Extrapolation 0 23.912500 18.798762 29.026238
## 601 BE24 1 Rarefaction 0 1.000000 1.000000 1.000000
## 602 BE24 18 Rarefaction 0 6.864988 6.298911 7.431065
## 603 BE24 35 Rarefaction 0 10.030663 9.175968 10.885359
## 604 BE24 52 Rarefaction 0 12.141490 11.090540 13.192440
## 605 BE24 69 Rarefaction 0 13.673474 12.478725 14.868223
## 606 BE24 87 Rarefaction 0 14.906927 13.600589 16.213266
## 607 BE24 104 Rarefaction 0 15.825390 14.442114 17.208666
## 608 BE24 121 Rarefaction 0 16.572932 15.132107 18.013756
## 609 BE24 138 Rarefaction 0 17.191822 15.706112 18.677531
## 610 BE24 156 Rarefaction 0 17.738221 16.213015 19.263426
## 611 BE24 173 Rarefaction 0 18.172099 16.613176 19.731022
## 612 BE24 190 Rarefaction 0 18.540800 16.948859 20.132740
## 613 BE24 207 Rarefaction 0 18.855179 17.228973 20.481385
## 614 BE24 224 Rarefaction 0 19.123735 17.460599 20.786870
## 615 BE24 242 Rarefaction 0 19.365698 17.659388 21.072007
## 616 BE24 259 Rarefaction 0 19.560013 17.808228 21.311798
## 617 BE24 276 Rarefaction 0 19.725817 17.923302 21.528331
## 618 BE24 293 Rarefaction 0 19.867040 18.007921 21.726160
## 619 BE24 311 Rarefaction 0 19.993590 18.067409 21.919770
## 620 BE24 312 Observed 0 20.000000 18.069862 21.930138
## 621 BE24 313 Extrapolation 0 20.006349 18.072229 21.940469
## 622 BE24 329 Extrapolation 0 20.100065 18.098920 22.101209
## 623 BE24 345 Extrapolation 0 20.180437 18.106317 22.254556
## 624 BE24 362 Extrapolation 0 20.253331 18.095828 22.410835
## 625 BE24 378 Extrapolation 0 20.311880 18.071156 22.552604
## 626 BE24 394 Extrapolation 0 20.362093 18.034316 22.689869
## 627 BE24 411 Extrapolation 0 20.407634 17.983969 22.831298
## 628 BE24 427 Extrapolation 0 20.444212 17.927793 22.960631
## 629 BE24 443 Extrapolation 0 20.475582 17.864570 23.086594
## 630 BE24 460 Extrapolation 0 20.504034 17.791067 23.217001
## 631 BE24 476 Extrapolation 0 20.526886 17.717053 23.336720
## 632 BE24 493 Extrapolation 0 20.547613 17.634315 23.460911
## 633 BE24 509 Extrapolation 0 20.564260 17.553401 23.575119
## 634 BE24 525 Extrapolation 0 20.578537 17.470209 23.686865
## 635 BE24 542 Extrapolation 0 20.591486 17.379947 23.803025
## 636 BE24 558 Extrapolation 0 20.601886 17.293733 23.910040
## 637 BE24 574 Extrapolation 0 20.610806 17.206707 24.014905
## 638 BE24 591 Extrapolation 0 20.618896 17.113733 24.124058
## 639 BE24 607 Extrapolation 0 20.625393 17.026052 24.224734
## 640 BE24 624 Extrapolation 0 20.631286 16.932982 24.329591
## 641 BE25 1 Rarefaction 0 1.000000 1.000000 1.000000
## 642 BE25 14 Rarefaction 0 8.523522 7.968839 9.078204
## 643 BE25 27 Rarefaction 0 12.536058 11.569460 13.502657
## 644 BE25 40 Rarefaction 0 15.249265 13.953514 16.545016
## 645 BE25 53 Rarefaction 0 17.287512 15.721539 18.853485
## 646 BE25 66 Rarefaction 0 18.925222 17.131740 20.718704
## 647 BE25 79 Rarefaction 0 20.299450 18.310625 22.288275
## 648 BE25 92 Rarefaction 0 21.486615 19.327328 23.645903
## 649 BE25 105 Rarefaction 0 22.533260 20.222875 24.843645
## 650 BE25 118 Rarefaction 0 23.469568 21.023091 25.916044
## 651 BE25 131 Rarefaction 0 24.315982 21.744918 26.887045
## 652 BE25 144 Rarefaction 0 25.086767 22.399799 27.773735
## 653 BE25 157 Rarefaction 0 25.792078 22.995600 28.588557
## 654 BE25 170 Rarefaction 0 26.439213 23.537748 29.340677
## 655 BE25 183 Rarefaction 0 27.033413 24.029934 30.036892
## 656 BE25 196 Rarefaction 0 27.578409 24.474568 30.682250
## 657 BE25 209 Rarefaction 0 28.076819 24.873109 31.280530
## 658 BE25 222 Rarefaction 0 28.530470 25.226316 31.834625
## 659 BE25 236 Rarefaction 0 28.970464 25.556301 32.384628
## 660 BE25 237 Observed 0 29.000000 25.577872 32.422128
## 661 BE25 238 Extrapolation 0 29.029288 25.599176 32.459399
## 662 BE25 250 Extrapolation 0 29.362122 25.834485 32.889759
## 663 BE25 262 Extrapolation 0 29.662902 26.033807 33.291996
## 664 BE25 275 Extrapolation 0 29.956147 26.211783 33.700510
## 665 BE25 287 Extrapolation 0 30.199717 26.343506 34.055929
## 666 BE25 300 Extrapolation 0 30.437187 26.453678 34.420695
## 667 BE25 312 Extrapolation 0 30.634429 26.527787 34.741072
## 668 BE25 324 Extrapolation 0 30.812676 26.577686 35.047666
## 669 BE25 337 Extrapolation 0 30.986458 26.606890 35.366025
## 670 BE25 349 Extrapolation 0 31.130801 26.613070 35.648533
## 671 BE25 362 Extrapolation 0 31.271529 26.599517 35.943541
## 672 BE25 374 Extrapolation 0 31.388418 26.570213 36.206623
## 673 BE25 387 Extrapolation 0 31.502379 26.522224 36.482534
## 674 BE25 399 Extrapolation 0 31.597035 26.464545 36.729526
## 675 BE25 411 Extrapolation 0 31.682576 26.395439 36.969713
## 676 BE25 424 Extrapolation 0 31.765973 26.309135 37.222811
## 677 BE25 436 Extrapolation 0 31.835243 26.220135 37.450351
## 678 BE25 449 Extrapolation 0 31.902778 26.114838 37.690719
## 679 BE25 461 Extrapolation 0 31.958873 26.010442 37.907304
## 680 BE25 474 Extrapolation 0 32.013563 25.890551 38.136575
## 681 BE26 1 Rarefaction 0 1.000000 1.000000 1.000000
## 682 BE26 17 Rarefaction 0 8.294868 7.844957 8.744778
## 683 BE26 34 Rarefaction 0 12.173887 11.411458 12.936316
## 684 BE26 51 Rarefaction 0 14.750614 13.762525 15.738704
## 685 BE26 68 Rarefaction 0 16.650578 15.492750 17.808406
## 686 BE26 85 Rarefaction 0 18.136338 16.840919 19.431757
## 687 BE26 102 Rarefaction 0 19.343970 17.930432 20.757507
## 688 BE26 118 Rarefaction 0 20.298432 18.784679 21.812185
## 689 BE26 135 Rarefaction 0 21.167953 19.554125 22.781781
## 690 BE26 152 Rarefaction 0 21.922608 20.211036 23.634180
## 691 BE26 169 Rarefaction 0 22.586843 20.776470 24.397215
## 692 BE26 186 Rarefaction 0 23.178150 21.265502 25.090799
## 693 BE26 203 Rarefaction 0 23.709207 21.689300 25.729114
## 694 BE26 219 Rarefaction 0 24.162274 22.036203 26.288346
## 695 BE26 236 Rarefaction 0 24.600383 22.355812 26.844953
## 696 BE26 253 Rarefaction 0 24.998639 22.629912 27.367366
## 697 BE26 270 Rarefaction 0 25.360463 22.862349 27.858577
## 698 BE26 287 Rarefaction 0 25.688233 23.056003 28.320462
## 699 BE26 304 Rarefaction 0 25.983607 23.213001 28.754212
## 700 BE26 305 Observed 0 26.000000 23.221130 28.778870
## 701 BE26 306 Extrapolation 0 26.016286 23.229138 28.803434
## 702 BE26 322 Extrapolation 0 26.262853 23.341472 29.184233
## 703 BE26 338 Extrapolation 0 26.484861 23.426372 29.543350
## 704 BE26 354 Extrapolation 0 26.684756 23.486963 29.882550
## 705 BE26 370 Extrapolation 0 26.864742 23.526105 30.203379
## 706 BE26 386 Extrapolation 0 27.026800 23.546404 30.507197
## 707 BE26 402 Extrapolation 0 27.172718 23.550223 30.795212
## 708 BE26 418 Extrapolation 0 27.304101 23.539690 31.068513
## 709 BE26 434 Extrapolation 0 27.422399 23.516710 31.328087
## 710 BE26 450 Extrapolation 0 27.528914 23.482987 31.574840
## 711 BE26 466 Extrapolation 0 27.624819 23.440034 31.809605
## 712 BE26 482 Extrapolation 0 27.711173 23.389190 32.033155
## 713 BE26 498 Extrapolation 0 27.788925 23.331643 32.246208
## 714 BE26 514 Extrapolation 0 27.858933 23.268437 32.449429
## 715 BE26 530 Extrapolation 0 27.921968 23.200495 32.643441
## 716 BE26 546 Extrapolation 0 27.978725 23.128627 32.828823
## 717 BE26 562 Extrapolation 0 28.029829 23.053545 33.006113
## 718 BE26 578 Extrapolation 0 28.075842 22.975872 33.175813
## 719 BE26 594 Extrapolation 0 28.117273 22.896154 33.338392
## 720 BE26 610 Extrapolation 0 28.154577 22.814870 33.494284
## 721 BE27 1 Rarefaction 0 1.000000 1.000000 1.000000
## 722 BE27 18 Rarefaction 0 10.875748 10.258888 11.492608
## 723 BE27 35 Rarefaction 0 15.893033 14.724891 17.061175
## 724 BE27 52 Rarefaction 0 19.289489 17.644976 20.934002
## 725 BE27 69 Rarefaction 0 21.893524 19.834164 23.952883
## 726 BE27 87 Rarefaction 0 24.154244 21.715018 26.593470
## 727 BE27 104 Rarefaction 0 25.985420 23.233524 28.737316
## 728 BE27 121 Rarefaction 0 27.606656 24.576778 30.636535
## 729 BE27 138 Rarefaction 0 29.066564 25.784777 32.348350
## 730 BE27 156 Rarefaction 0 30.470593 26.942700 33.998486
## 731 BE27 173 Rarefaction 0 31.684712 27.937961 35.431463
## 732 BE27 190 Rarefaction 0 32.805831 28.848838 36.762825
## 733 BE27 207 Rarefaction 0 33.846082 29.683895 38.008269
## 734 BE27 224 Rarefaction 0 34.815559 30.450409 39.180708
## 735 BE27 242 Rarefaction 0 35.774585 31.194523 40.354647
## 736 BE27 259 Rarefaction 0 36.624652 31.839838 41.409466
## 737 BE27 276 Rarefaction 0 37.427632 32.435034 42.420230
## 738 BE27 293 Rarefaction 0 38.189723 32.985340 43.394106
## 739 BE27 311 Rarefaction 0 38.958333 33.524506 44.392160
## 740 BE27 312 Observed 0 39.000000 33.553254 44.446746
## 741 BE27 313 Extrapolation 0 39.041564 33.581881 44.501247
## 742 BE27 329 Extrapolation 0 39.692809 34.023393 45.362225
## 743 BE27 345 Extrapolation 0 40.318816 34.434122 46.203510
## 744 BE27 362 Extrapolation 0 40.957387 34.837454 47.077320
## 745 BE27 378 Extrapolation 0 41.534385 35.186778 47.881992
## 746 BE27 394 Extrapolation 0 42.089022 35.507727 48.670317
## 747 BE27 411 Extrapolation 0 42.654791 35.818877 49.490705
## 748 BE27 427 Extrapolation 0 43.166006 36.084881 50.247132
## 749 BE27 443 Extrapolation 0 43.657410 36.326135 50.988685
## 750 BE27 460 Extrapolation 0 44.158677 36.556783 51.760571
## 751 BE27 476 Extrapolation 0 44.611610 36.751044 52.472175
## 752 BE27 493 Extrapolation 0 45.073633 36.934651 53.212616
## 753 BE27 509 Extrapolation 0 45.491107 37.087310 53.894905
## 754 BE27 525 Extrapolation 0 45.892402 37.221655 54.563150
## 755 BE27 542 Extrapolation 0 46.301752 37.345619 55.257884
## 756 BE27 558 Extrapolation 0 46.671630 37.445775 55.897486
## 757 BE27 574 Extrapolation 0 47.027174 37.530980 56.523368
## 758 BE27 591 Extrapolation 0 47.389854 37.606235 57.173474
## 759 BE27 607 Extrapolation 0 47.717564 37.663666 57.771462
## 760 BE27 624 Extrapolation 0 48.051851 37.711454 58.392248
## 761 BE28 1 Rarefaction 0 1.000000 1.000000 1.000000
## 762 BE28 15 Rarefaction 0 9.699114 9.138182 10.260045
## 763 BE28 30 Rarefaction 0 14.392769 13.332622 15.452915
## 764 BE28 45 Rarefaction 0 17.418904 16.014578 18.823231
## 765 BE28 59 Rarefaction 0 19.488162 17.834332 21.141991
## 766 BE28 74 Rarefaction 0 21.213806 19.340880 23.086731
## 767 BE28 89 Rarefaction 0 22.600171 20.544259 24.656082
## 768 BE28 104 Rarefaction 0 23.748697 21.537660 25.959734
## 769 BE28 118 Rarefaction 0 24.662033 22.326296 26.997771
## 770 BE28 133 Rarefaction 0 25.509951 23.057906 27.961996
## 771 BE28 148 Rarefaction 0 26.250541 23.696453 28.804630
## 772 BE28 162 Rarefaction 0 26.863022 24.223704 29.502339
## 773 BE28 177 Rarefaction 0 27.449458 24.726786 30.172129
## 774 BE28 192 Rarefaction 0 27.975553 25.175087 30.776019
## 775 BE28 207 Rarefaction 0 28.451234 25.575887 31.326580
## 776 BE28 221 Rarefaction 0 28.857092 25.912185 31.802000
## 777 BE28 236 Rarefaction 0 29.257896 26.236356 32.279436
## 778 BE28 251 Rarefaction 0 29.629571 26.526712 32.732430
## 779 BE28 266 Rarefaction 0 29.977528 26.786158 33.168898
## 780 BE28 267 Observed 0 30.000000 26.802415 33.197585
## 781 BE28 268 Extrapolation 0 30.022388 26.818544 33.226232
## 782 BE28 282 Extrapolation 0 30.327153 27.031138 33.623168
## 783 BE28 296 Extrapolation 0 30.616322 27.219625 34.013019
## 784 BE28 310 Extrapolation 0 30.890692 27.384921 34.396462
## 785 BE28 324 Extrapolation 0 31.151020 27.528104 34.773937
## 786 BE28 338 Extrapolation 0 31.398026 27.650372 35.145680
## 787 BE28 352 Extrapolation 0 31.632391 27.753007 35.511774
## 788 BE28 366 Extrapolation 0 31.854761 27.837332 35.872190
## 789 BE28 380 Extrapolation 0 32.065752 27.904673 36.226830
## 790 BE28 394 Extrapolation 0 32.265944 27.956332 36.575557
## 791 BE28 408 Extrapolation 0 32.455891 27.993562 36.918221
## 792 BE28 422 Extrapolation 0 32.636118 28.017559 37.254677
## 793 BE28 436 Extrapolation 0 32.807121 28.029449 37.584793
## 794 BE28 450 Extrapolation 0 32.969372 28.030284 37.908461
## 795 BE28 464 Extrapolation 0 33.123321 28.021041 38.225600
## 796 BE28 478 Extrapolation 0 33.269390 28.002624 38.536156
## 797 BE28 492 Extrapolation 0 33.407984 27.975866 38.840102
## 798 BE28 506 Extrapolation 0 33.539485 27.941533 39.137437
## 799 BE28 520 Extrapolation 0 33.664257 27.900328 39.428186
## 800 BE28 534 Extrapolation 0 33.782643 27.852893 39.712392
## 801 BE29 1 Rarefaction 0 1.000000 1.000000 1.000000
## 802 BE29 14 Rarefaction 0 8.453726 7.952271 8.955182
## 803 BE29 27 Rarefaction 0 12.155709 11.420933 12.890485
## 804 BE29 41 Rarefaction 0 14.623942 13.744161 15.503723
## 805 BE29 54 Rarefaction 0 16.162181 15.168544 17.155818
## 806 BE29 67 Rarefaction 0 17.277251 16.178629 18.375873
## 807 BE29 81 Rarefaction 0 18.184816 16.981741 19.387890
## 808 BE29 94 Rarefaction 0 18.848821 17.556977 20.140665
## 809 BE29 108 Rarefaction 0 19.431024 18.052542 20.809506
## 810 BE29 121 Rarefaction 0 19.880895 18.429886 21.331904
## 811 BE29 134 Rarefaction 0 20.263635 18.746894 21.780376
## 812 BE29 148 Rarefaction 0 20.616017 19.034772 22.197261
## 813 BE29 161 Rarefaction 0 20.897785 19.261051 22.534519
## 814 BE29 175 Rarefaction 0 21.160429 19.466994 22.853865
## 815 BE29 188 Rarefaction 0 21.371946 19.627148 23.116744
## 816 BE29 201 Rarefaction 0 21.556356 19.759981 23.352731
## 817 BE29 215 Rarefaction 0 21.728161 19.874442 23.581880
## 818 BE29 228 Rarefaction 0 21.865443 19.955430 23.775457
## 819 BE29 242 Rarefaction 0 21.991770 20.016405 23.967135
## 820 BE29 243 Observed 0 22.000000 20.019741 23.980259
## 821 BE29 244 Extrapolation 0 22.008130 20.022957 23.993302
## 822 BE29 256 Extrapolation 0 22.098259 20.052415 24.144104
## 823 BE29 269 Extrapolation 0 22.181976 20.066693 24.297259
## 824 BE29 282 Extrapolation 0 22.253303 20.064902 24.441705
## 825 BE29 294 Extrapolation 0 22.309737 20.051001 24.568473
## 826 BE29 307 Extrapolation 0 22.362156 20.024716 24.699596
## 827 BE29 320 Extrapolation 0 22.406817 19.988659 24.824975
## 828 BE29 333 Extrapolation 0 22.444868 19.944539 24.945197
## 829 BE29 345 Extrapolation 0 22.474974 19.897931 25.052017
## 830 BE29 358 Extrapolation 0 22.502938 19.842246 25.163631
## 831 BE29 371 Extrapolation 0 22.526764 19.782201 25.271327
## 832 BE29 384 Extrapolation 0 22.547063 19.718701 25.375425
## 833 BE29 396 Extrapolation 0 22.563124 19.657680 25.468567
## 834 BE29 409 Extrapolation 0 22.578042 19.589572 25.566512
## 835 BE29 422 Extrapolation 0 22.590752 19.519910 25.661594
## 836 BE29 435 Extrapolation 0 22.601581 19.449152 25.754011
## 837 BE29 447 Extrapolation 0 22.610149 19.383196 25.837103
## 838 BE29 460 Extrapolation 0 22.618108 19.311351 25.924865
## 839 BE29 473 Extrapolation 0 22.624888 19.239363 26.010414
## 840 BE29 486 Extrapolation 0 22.630665 19.167457 26.093874
## 841 BE3 1 Rarefaction 0 1.000000 1.000000 1.000000
## 842 BE3 17 Rarefaction 0 12.399461 12.041299 12.757622
## 843 BE3 33 Rarefaction 0 18.989242 18.243729 19.734754
## 844 BE3 49 Rarefaction 0 23.367750 22.331039 24.404461
## 845 BE3 65 Rarefaction 0 26.515115 25.232118 27.798112
## 846 BE3 82 Rarefaction 0 29.013965 27.495967 30.531962
## 847 BE3 98 Rarefaction 0 30.833874 29.115568 32.552180
## 848 BE3 114 Rarefaction 0 32.297183 30.395991 34.198376
## 849 BE3 130 Rarefaction 0 33.506064 31.435522 35.576606
## 850 BE3 147 Rarefaction 0 34.588193 32.347956 36.828431
## 851 BE3 163 Rarefaction 0 35.464880 33.070770 37.858990
## 852 BE3 179 Rarefaction 0 36.236232 33.690958 38.781505
## 853 BE3 195 Rarefaction 0 36.924028 34.228057 39.619999
## 854 BE3 211 Rarefaction 0 37.543707 34.695764 40.391650
## 855 BE3 228 Rarefaction 0 38.139947 35.127612 41.152281
## 856 BE3 244 Rarefaction 0 38.651286 35.480327 41.822245
## 857 BE3 260 Rarefaction 0 39.120701 35.786384 42.455018
## 858 BE3 276 Rarefaction 0 39.553061 36.049810 43.056313
## 859 BE3 293 Rarefaction 0 39.976190 36.286393 43.665988
## 860 BE3 294 Observed 0 40.000000 36.298981 43.701019
## 861 BE3 295 Extrapolation 0 40.023694 36.311424 43.735964
## 862 BE3 310 Extrapolation 0 40.365616 36.481328 44.249903
## 863 BE3 325 Extrapolation 0 40.683480 36.621626 44.745335
## 864 BE3 341 Extrapolation 0 40.997924 36.741492 45.254356
## 865 BE3 356 Extrapolation 0 41.271299 36.828471 45.714128
## 866 BE3 372 Extrapolation 0 41.541733 36.896741 46.186724
## 867 BE3 387 Extrapolation 0 41.776846 36.939968 46.613725
## 868 BE3 402 Extrapolation 0 41.995417 36.965052 47.025782
## 869 BE3 418 Extrapolation 0 42.211636 36.973802 47.449470
## 870 BE3 433 Extrapolation 0 42.399615 36.966831 47.832399
## 871 BE3 449 Extrapolation 0 42.585572 36.944910 48.226234
## 872 BE3 464 Extrapolation 0 42.747241 36.912196 48.582286
## 873 BE3 480 Extrapolation 0 42.907170 36.865734 48.948607
## 874 BE3 495 Extrapolation 0 43.046212 36.812502 49.279923
## 875 BE3 510 Extrapolation 0 43.175471 36.750939 49.600004
## 876 BE3 526 Extrapolation 0 43.303339 36.677117 49.929561
## 877 BE3 541 Extrapolation 0 43.414507 36.601141 50.227873
## 878 BE3 557 Extrapolation 0 43.524478 36.513744 50.535212
## 879 BE3 572 Extrapolation 0 43.620086 36.426570 50.813603
## 880 BE3 588 Extrapolation 0 43.714666 36.328704 51.100627
## 881 BE30 1 Rarefaction 0 1.000000 1.000000 1.000000
## 882 BE30 15 Rarefaction 0 8.070304 7.506324 8.634284
## 883 BE30 30 Rarefaction 0 11.723175 10.718978 12.727372
## 884 BE30 45 Rarefaction 0 14.106032 12.713064 15.499001
## 885 BE30 59 Rarefaction 0 15.756410 14.036993 17.475827
## 886 BE30 74 Rarefaction 0 17.183199 15.145044 19.221354
## 887 BE30 89 Rarefaction 0 18.399835 16.068808 20.730863
## 888 BE30 103 Rarefaction 0 19.415610 16.830926 22.000294
## 889 BE30 118 Rarefaction 0 20.417180 17.578934 23.255425
## 890 BE30 133 Rarefaction 0 21.353511 18.277942 24.429080
## 891 BE30 147 Rarefaction 0 22.181532 18.896918 25.466146
## 892 BE30 162 Rarefaction 0 23.027747 19.530313 26.525181
## 893 BE30 177 Rarefaction 0 23.836757 20.135971 27.537542
## 894 BE30 191 Rarefaction 0 24.561220 20.677497 28.444944
## 895 BE30 206 Rarefaction 0 25.306752 21.232755 29.380750
## 896 BE30 221 Rarefaction 0 26.022146 21.762301 30.281991
## 897 BE30 235 Rarefaction 0 26.663821 22.233274 31.094367
## 898 BE30 250 Rarefaction 0 27.324546 22.712833 31.936259
## 899 BE30 265 Rarefaction 0 27.958647 23.166354 32.750939
## 900 BE30 266 Observed 0 28.000000 23.195660 32.804340
## 901 BE30 267 Extrapolation 0 28.041240 23.224851 32.857630
## 902 BE30 280 Extrapolation 0 28.567203 23.593819 33.540587
## 903 BE30 294 Extrapolation 0 29.113055 23.969650 34.256461
## 904 BE30 308 Extrapolation 0 29.638360 24.323662 34.953058
## 905 BE30 322 Extrapolation 0 30.143891 24.656427 35.631356
## 906 BE30 336 Extrapolation 0 30.630393 24.968562 36.292225
## 907 BE30 350 Extrapolation 0 31.098582 25.260721 36.936442
## 908 BE30 364 Extrapolation 0 31.549146 25.533586 37.564707
## 909 BE30 378 Extrapolation 0 31.982751 25.787853 38.177648
## 910 BE30 392 Extrapolation 0 32.400033 26.024228 38.775837
## 911 BE30 406 Extrapolation 0 32.801608 26.243417 39.359798
## 912 BE30 420 Extrapolation 0 33.188066 26.446119 39.930013
## 913 BE30 434 Extrapolation 0 33.559977 26.633026 40.486929
## 914 BE30 448 Extrapolation 0 33.917889 26.804815 41.030963
## 915 BE30 462 Extrapolation 0 34.262327 26.962148 41.562507
## 916 BE30 476 Extrapolation 0 34.593801 27.105669 42.081932
## 917 BE30 490 Extrapolation 0 34.912796 27.236004 42.589589
## 918 BE30 504 Extrapolation 0 35.219784 27.353756 43.085813
## 919 BE30 518 Extrapolation 0 35.515216 27.459509 43.570923
## 920 BE30 532 Extrapolation 0 35.799528 27.553827 44.045228
## 921 BE4 1 Rarefaction 0 1.000000 1.000000 1.000000
## 922 BE4 23 Rarefaction 0 13.387594 12.743390 14.031797
## 923 BE4 46 Rarefaction 0 18.785704 17.623388 19.948019
## 924 BE4 69 Rarefaction 0 21.872317 20.416076 23.328559
## 925 BE4 92 Rarefaction 0 23.916708 22.287953 25.545462
## 926 BE4 115 Rarefaction 0 25.384883 23.637180 27.132585
## 927 BE4 138 Rarefaction 0 26.498154 24.646282 28.350025
## 928 BE4 161 Rarefaction 0 27.377436 25.417884 29.336987
## 929 BE4 184 Rarefaction 0 28.095194 26.018133 30.172256
## 930 BE4 207 Rarefaction 0 28.697752 26.492926 30.902578
## 931 BE4 230 Rarefaction 0 29.216086 26.875108 31.557063
## 932 BE4 253 Rarefaction 0 29.671586 27.188404 32.154769
## 933 BE4 276 Rarefaction 0 30.079407 27.449986 32.708828
## 934 BE4 299 Rarefaction 0 30.450540 27.672315 33.228765
## 935 BE4 322 Rarefaction 0 30.793173 27.864489 33.721857
## 936 BE4 345 Rarefaction 0 31.113604 28.033236 34.193973
## 937 BE4 368 Rarefaction 0 31.416859 28.183618 34.650099
## 938 BE4 391 Rarefaction 0 31.707107 28.319532 35.094683
## 939 BE4 414 Rarefaction 0 31.987952 28.444054 35.531849
## 940 BE4 415 Observed 0 32.000000 28.449250 35.550750
## 941 BE4 416 Extrapolation 0 32.012037 28.454433 35.569640
## 942 BE4 437 Extrapolation 0 32.262138 28.560378 35.963897
## 943 BE4 459 Extrapolation 0 32.518765 28.665535 36.371995
## 944 BE4 481 Extrapolation 0 32.769997 28.764852 36.775143
## 945 BE4 503 Extrapolation 0 33.015949 28.858431 37.173466
## 946 BE4 524 Extrapolation 0 33.245895 28.942496 37.549294
## 947 BE4 546 Extrapolation 0 33.481842 29.025158 37.938526
## 948 BE4 568 Extrapolation 0 33.712829 29.102412 38.323247
## 949 BE4 590 Extrapolation 0 33.938960 29.174398 38.703523
## 950 BE4 612 Extrapolation 0 34.160338 29.241276 39.079400
## 951 BE4 633 Extrapolation 0 34.367310 29.300508 39.434113
## 952 BE4 655 Extrapolation 0 34.579683 29.357910 39.801456
## 953 BE4 677 Extrapolation 0 34.787592 29.410744 40.164440
## 954 BE4 699 Extrapolation 0 34.991130 29.459205 40.523054
## 955 BE4 721 Extrapolation 0 35.190389 29.503494 40.877284
## 956 BE4 742 Extrapolation 0 35.376682 29.542060 41.211304
## 957 BE4 764 Extrapolation 0 35.567836 29.578768 41.556905
## 958 BE4 786 Extrapolation 0 35.754972 29.611886 41.898058
## 959 BE4 808 Extrapolation 0 35.938174 29.641605 42.234743
## 960 BE4 830 Extrapolation 0 36.117525 29.668110 42.566939
## 961 BE5 1 Rarefaction 0 1.000000 1.000000 1.000000
## 962 BE5 11 Rarefaction 0 4.931670 4.393756 5.469585
## 963 BE5 22 Rarefaction 0 7.721929 6.913979 8.529880
## 964 BE5 33 Rarefaction 0 9.731952 8.732007 10.731897
## 965 BE5 44 Rarefaction 0 11.206000 10.042399 12.369602
## 966 BE5 55 Rarefaction 0 12.308909 10.998815 13.619004
## 967 BE5 66 Rarefaction 0 13.152248 11.708747 14.595750
## 968 BE5 77 Rarefaction 0 13.812089 12.245203 15.378976
## 969 BE5 88 Rarefaction 0 14.340881 12.658059 16.023703
## 970 BE5 99 Rarefaction 0 14.775257 12.981923 16.568591
## 971 BE5 110 Rarefaction 0 15.141114 13.241138 17.041090
## 972 BE5 121 Rarefaction 0 15.456892 13.452921 17.460864
## 973 BE5 132 Rarefaction 0 15.735721 13.629379 17.842063
## 974 BE5 143 Rarefaction 0 15.986848 13.778854 18.194842
## 975 BE5 154 Rarefaction 0 16.216635 13.906870 18.526400
## 976 BE5 165 Rarefaction 0 16.429282 14.016837 18.841728
## 977 BE5 176 Rarefaction 0 16.627387 14.110603 19.144170
## 978 BE5 187 Rarefaction 0 16.812386 14.188898 19.435875
## 979 BE5 198 Rarefaction 0 16.984925 14.251696 19.718154
## 980 BE5 199 Observed 0 17.000000 14.256622 19.743378
## 981 BE5 200 Extrapolation 0 17.014975 14.261423 19.768526
## 982 BE5 210 Extrapolation 0 17.159320 14.302690 20.015950
## 983 BE5 220 Extrapolation 0 17.294296 14.332252 20.256339
## 984 BE5 231 Extrapolation 0 17.432672 14.352337 20.513007
## 985 BE5 241 Extrapolation 0 17.549904 14.360338 20.739469
## 986 BE5 252 Extrapolation 0 17.670089 14.359020 20.981157
## 987 BE5 262 Extrapolation 0 17.771910 14.349586 21.194234
## 988 BE5 272 Extrapolation 0 17.867121 14.333151 21.401091
## 989 BE5 283 Extrapolation 0 17.964731 14.307876 21.621587
## 990 BE5 293 Extrapolation 0 18.047426 14.279085 21.815768
## 991 BE5 304 Extrapolation 0 18.132205 14.241765 22.022644
## 992 BE5 314 Extrapolation 0 18.204029 14.203292 22.204765
## 993 BE5 325 Extrapolation 0 18.277662 14.156573 22.398751
## 994 BE5 335 Extrapolation 0 18.340044 14.110579 22.569510
## 995 BE5 345 Extrapolation 0 18.398377 14.061638 22.735117
## 996 BE5 356 Extrapolation 0 18.458180 14.004823 22.911536
## 997 BE5 366 Extrapolation 0 18.508844 13.950814 23.066875
## 998 BE5 377 Extrapolation 0 18.560785 13.889163 23.232406
## 999 BE5 387 Extrapolation 0 18.604789 13.831365 23.378214
## 1000 BE5 398 Extrapolation 0 18.649902 13.766148 23.533656
## 1001 BE6 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1002 BE6 12 Rarefaction 0 6.975703 6.406045 7.545361
## 1003 BE6 23 Rarefaction 0 10.431183 9.473039 11.389327
## 1004 BE6 35 Rarefaction 0 13.070098 11.741072 14.399125
## 1005 BE6 46 Rarefaction 0 14.898257 13.255992 16.540523
## 1006 BE6 58 Rarefaction 0 16.496117 14.531571 18.460662
## 1007 BE6 69 Rarefaction 0 17.717360 15.471794 19.962926
## 1008 BE6 81 Rarefaction 0 18.863366 16.325667 21.401064
## 1009 BE6 92 Rarefaction 0 19.787112 16.994268 22.579956
## 1010 BE6 104 Rarefaction 0 20.688741 17.630564 23.746917
## 1011 BE6 115 Rarefaction 0 21.437318 18.146895 24.727741
## 1012 BE6 126 Rarefaction 0 22.124425 18.611155 25.637694
## 1013 BE6 138 Rarefaction 0 22.814778 19.067746 26.561811
## 1014 BE6 149 Rarefaction 0 23.401033 19.446977 27.355090
## 1015 BE6 161 Rarefaction 0 23.996785 19.823354 28.170215
## 1016 BE6 172 Rarefaction 0 24.508027 20.138192 28.877861
## 1017 BE6 184 Rarefaction 0 25.032957 20.452659 29.613255
## 1018 BE6 195 Rarefaction 0 25.488356 20.717511 30.259201
## 1019 BE6 207 Rarefaction 0 25.961538 20.984271 30.938806
## 1020 BE6 208 Observed 0 26.000000 21.005564 30.994436
## 1021 BE6 209 Extrapolation 0 26.038323 21.026720 31.049925
## 1022 BE6 219 Extrapolation 0 26.414022 21.230795 31.597250
## 1023 BE6 230 Extrapolation 0 26.811897 21.439704 32.184089
## 1024 BE6 241 Extrapolation 0 27.194253 21.632687 32.755819
## 1025 BE6 252 Extrapolation 0 27.561697 21.810300 33.313094
## 1026 BE6 263 Extrapolation 0 27.914810 21.973204 33.856416
## 1027 BE6 274 Extrapolation 0 28.254150 22.122118 34.386182
## 1028 BE6 285 Extrapolation 0 28.580256 22.257793 34.902719
## 1029 BE6 296 Extrapolation 0 28.893643 22.380981 35.406305
## 1030 BE6 307 Extrapolation 0 29.194807 22.492422 35.897192
## 1031 BE6 317 Extrapolation 0 29.458387 22.584142 36.332632
## 1032 BE6 328 Extrapolation 0 29.737525 22.675122 36.799928
## 1033 BE6 339 Extrapolation 0 30.005776 22.756351 37.255201
## 1034 BE6 350 Extrapolation 0 30.263565 22.828448 37.698681
## 1035 BE6 361 Extrapolation 0 30.511299 22.891995 38.130603
## 1036 BE6 372 Extrapolation 0 30.749371 22.947537 38.551205
## 1037 BE6 383 Extrapolation 0 30.978158 22.995587 38.960728
## 1038 BE6 394 Extrapolation 0 31.198021 23.036623 39.359420
## 1039 BE6 405 Extrapolation 0 31.409310 23.071092 39.747528
## 1040 BE6 416 Extrapolation 0 31.612358 23.099412 40.125303
## 1041 BE7 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1042 BE7 30 Rarefaction 0 9.448944 8.800674 10.097214
## 1043 BE7 60 Rarefaction 0 13.036941 12.002941 14.070940
## 1044 BE7 90 Rarefaction 0 15.324703 13.960649 16.688758
## 1045 BE7 120 Rarefaction 0 17.052653 15.383290 18.722017
## 1046 BE7 150 Rarefaction 0 18.462129 16.508924 20.415335
## 1047 BE7 180 Rarefaction 0 19.662846 17.448795 21.876897
## 1048 BE7 210 Rarefaction 0 20.716161 18.264336 23.167987
## 1049 BE7 240 Rarefaction 0 21.660099 18.991986 24.328212
## 1050 BE7 270 Rarefaction 0 22.519277 19.653921 25.384633
## 1051 BE7 299 Rarefaction 0 23.284602 20.244127 26.325077
## 1052 BE7 329 Rarefaction 0 24.019588 20.811423 27.227753
## 1053 BE7 359 Rarefaction 0 24.704430 21.339769 28.069090
## 1054 BE7 389 Rarefaction 0 25.344558 21.832265 28.856851
## 1055 BE7 419 Rarefaction 0 25.943950 22.290750 29.597151
## 1056 BE7 449 Rarefaction 0 26.505614 22.716251 30.294976
## 1057 BE7 479 Rarefaction 0 27.031879 23.109231 30.954526
## 1058 BE7 509 Rarefaction 0 27.524583 23.469721 31.579445
## 1059 BE7 539 Rarefaction 0 27.985185 23.797387 32.172983
## 1060 BE7 540 Observed 0 28.000000 23.807737 32.192263
## 1061 BE7 541 Extrapolation 0 28.014781 23.818050 32.211511
## 1062 BE7 569 Extrapolation 0 28.415036 24.092008 32.738064
## 1063 BE7 597 Extrapolation 0 28.790155 24.338323 33.241986
## 1064 BE7 626 Extrapolation 0 29.153854 24.565798 33.741911
## 1065 BE7 654 Extrapolation 0 29.482575 24.760208 34.204941
## 1066 BE7 682 Extrapolation 0 29.790651 24.931293 34.650008
## 1067 BE7 711 Extrapolation 0 30.089348 25.085426 35.093271
## 1068 BE7 739 Extrapolation 0 30.359318 25.213435 35.505202
## 1069 BE7 767 Extrapolation 0 30.612334 25.322400 35.902267
## 1070 BE7 796 Extrapolation 0 30.857647 25.416611 36.298684
## 1071 BE7 824 Extrapolation 0 31.079367 25.490894 36.667841
## 1072 BE7 853 Extrapolation 0 31.294337 25.551878 37.036797
## 1073 BE7 881 Extrapolation 0 31.488633 25.596552 37.380713
## 1074 BE7 909 Extrapolation 0 31.670726 25.628376 37.713075
## 1075 BE7 938 Extrapolation 0 31.847276 25.648884 38.045668
## 1076 BE7 966 Extrapolation 0 32.006846 25.657649 38.356043
## 1077 BE7 994 Extrapolation 0 32.156394 25.656477 38.656312
## 1078 BE7 1023 Extrapolation 0 32.301391 25.645675 38.957106
## 1079 BE7 1051 Extrapolation 0 32.432442 25.626784 39.238099
## 1080 BE7 1080 Extrapolation 0 32.559503 25.599227 39.519779
## 1081 BE8 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1082 BE8 13 Rarefaction 0 7.833924 7.351445 8.316404
## 1083 BE8 25 Rarefaction 0 11.798526 11.082805 12.514247
## 1084 BE8 37 Rarefaction 0 14.514179 13.631039 15.397319
## 1085 BE8 49 Rarefaction 0 16.470219 15.457202 17.483236
## 1086 BE8 61 Rarefaction 0 17.932717 16.812559 19.052875
## 1087 BE8 73 Rarefaction 0 19.059251 17.844845 20.273656
## 1088 BE8 85 Rarefaction 0 19.948935 18.647256 21.250614
## 1089 BE8 97 Rarefaction 0 20.667021 19.281654 22.052388
## 1090 BE8 109 Rarefaction 0 21.257979 19.790640 22.725318
## 1091 BE8 121 Rarefaction 0 21.752904 20.204344 23.301463
## 1092 BE8 133 Rarefaction 0 22.173931 20.544487 23.803375
## 1093 BE8 145 Rarefaction 0 22.537003 20.826913 24.247093
## 1094 BE8 157 Rarefaction 0 22.853691 21.063260 24.644122
## 1095 BE8 169 Rarefaction 0 23.132453 21.262098 25.002809
## 1096 BE8 181 Rarefaction 0 23.379539 21.429752 25.329327
## 1097 BE8 193 Rarefaction 0 23.599636 21.570894 25.628377
## 1098 BE8 205 Rarefaction 0 23.796339 21.688987 25.903691
## 1099 BE8 218 Rarefaction 0 23.986301 21.793870 26.178733
## 1100 BE8 219 Observed 0 24.000000 21.801015 26.198985
## 1101 BE8 220 Extrapolation 0 24.013574 21.808030 26.219119
## 1102 BE8 231 Extrapolation 0 24.154987 21.876755 26.433219
## 1103 BE8 242 Extrapolation 0 24.282883 21.930701 26.635065
## 1104 BE8 254 Extrapolation 0 24.408507 21.974032 26.842982
## 1105 BE8 265 Extrapolation 0 24.512173 22.000845 27.023501
## 1106 BE8 277 Extrapolation 0 24.613997 22.017508 27.210486
## 1107 BE8 288 Extrapolation 0 24.698023 22.022516 27.373531
## 1108 BE8 300 Extrapolation 0 24.780556 22.018119 27.542993
## 1109 BE8 311 Extrapolation 0 24.848663 22.006147 27.691179
## 1110 BE8 323 Extrapolation 0 24.915560 21.985545 27.845575
## 1111 BE8 334 Extrapolation 0 24.970764 21.960648 27.980880
## 1112 BE8 346 Extrapolation 0 25.024987 21.927840 28.122134
## 1113 BE8 357 Extrapolation 0 25.069732 21.893312 28.246152
## 1114 BE8 369 Extrapolation 0 25.113682 21.851515 28.375850
## 1115 BE8 380 Extrapolation 0 25.149951 21.809988 28.489913
## 1116 BE8 392 Extrapolation 0 25.185574 21.761756 28.609392
## 1117 BE8 403 Extrapolation 0 25.214971 21.715309 28.714633
## 1118 BE8 415 Extrapolation 0 25.243846 21.662652 28.825039
## 1119 BE8 426 Extrapolation 0 25.267673 21.612915 28.922432
## 1120 BE8 438 Extrapolation 0 25.291078 21.557404 29.024751
## 1121 BE9 1 Rarefaction 0 1.000000 1.000000 1.000000
## 1122 BE9 18 Rarefaction 0 11.347815 10.896781 11.798850
## 1123 BE9 35 Rarefaction 0 16.420869 15.607417 17.234322
## 1124 BE9 52 Rarefaction 0 19.580958 18.426657 20.735259
## 1125 BE9 69 Rarefaction 0 21.812284 20.316889 23.307679
## 1126 BE9 86 Rarefaction 0 23.518079 21.685456 25.350702
## 1127 BE9 103 Rarefaction 0 24.890987 22.726045 27.055928
## 1128 BE9 120 Rarefaction 0 26.034800 23.542581 28.527019
## 1129 BE9 137 Rarefaction 0 27.011773 24.198015 29.825532
## 1130 BE9 155 Rarefaction 0 27.909687 24.762825 31.056549
## 1131 BE9 172 Rarefaction 0 28.658911 25.205226 32.112597
## 1132 BE9 189 Rarefaction 0 29.333755 25.581191 33.086319
## 1133 BE9 206 Rarefaction 0 29.950244 25.906745 33.993743
## 1134 BE9 223 Rarefaction 0 30.520680 26.193910 34.847450
## 1135 BE9 240 Rarefaction 0 31.054533 26.451713 35.657354
## 1136 BE9 257 Rarefaction 0 31.559108 26.686924 36.431292
## 1137 BE9 274 Rarefaction 0 32.040079 26.904642 37.175517
## 1138 BE9 291 Rarefaction 0 32.501933 27.108745 37.895122
## 1139 BE9 309 Rarefaction 0 32.974194 27.313374 38.635013
## 1140 BE9 310 Observed 0 33.000000 27.324455 38.675545
## 1141 BE9 311 Extrapolation 0 33.025765 27.335506 38.716024
## 1142 BE9 327 Extrapolation 0 33.432386 27.508130 39.356642
## 1143 BE9 343 Extrapolation 0 33.828623 27.672835 39.984411
## 1144 BE9 359 Extrapolation 0 34.214741 27.829597 40.599884
## 1145 BE9 376 Extrapolation 0 34.614193 27.987476 41.240910
## 1146 BE9 392 Extrapolation 0 34.980249 28.127959 41.832540
## 1147 BE9 408 Extrapolation 0 35.336958 28.260679 42.413238
## 1148 BE9 424 Extrapolation 0 35.684557 28.385765 42.983350
## 1149 BE9 441 Extrapolation 0 36.044160 28.510481 43.577840
## 1150 BE9 457 Extrapolation 0 36.373700 28.620345 44.127054
## 1151 BE9 473 Extrapolation 0 36.694823 28.723120 44.666526
## 1152 BE9 489 Extrapolation 0 37.007746 28.819018 45.196475
## 1153 BE9 506 Extrapolation 0 37.331476 28.913618 45.749334
## 1154 BE9 522 Extrapolation 0 37.628140 28.996027 46.260253
## 1155 BE9 538 Extrapolation 0 37.917229 29.072244 46.762214
## 1156 BE9 554 Extrapolation 0 38.198935 29.142496 47.255374
## 1157 BE9 571 Extrapolation 0 38.490369 29.210859 47.769880
## 1158 BE9 587 Extrapolation 0 38.757439 29.269525 48.245353
## 1159 BE9 603 Extrapolation 0 39.017688 29.322913 48.712463
## 1160 BE9 620 Extrapolation 0 39.286925 29.374098 49.199753
## SC SC.LCL SC.UCL
## 1 0.39408233 0.33033590 0.45782877
## 2 0.81624211 0.79273406 0.83975017
## 3 0.89466850 0.87650764 0.91282936
## 4 0.92783458 0.91208677 0.94358239
## 5 0.94612194 0.93233634 0.95990755
## 6 0.95625438 0.94392669 0.96858207
## 7 0.96206318 0.95059062 0.97353574
## 8 0.96623309 0.95523544 0.97723074
## 9 0.96906748 0.95825564 0.97987931
## 10 0.97146996 0.96072188 0.98221804
## 11 0.97349012 0.96275260 0.98422764
## 12 0.97516349 0.96442548 0.98590150
## 13 0.97680512 0.96606973 0.98754052
## 14 0.97823491 0.96750584 0.98896399
## 15 0.97968357 0.96896010 0.99040704
## 16 0.98106612 0.97033832 0.99179393
## 17 0.98231255 0.97156218 0.99306291
## 18 0.98361695 0.97281092 0.99442297
## 19 0.98490566 0.97399774 0.99581358
## 20 0.98499094 0.97408007 0.99590181
## 21 0.98507574 0.97416224 0.99598924
## 22 0.98613547 0.97521439 0.99705655
## 23 0.98719272 0.97631109 0.99807436
## 24 0.98816936 0.97736402 0.99897469
## 25 0.98907151 0.97836845 0.99977458
## 26 0.98990488 0.97932199 1.00000000
## 27 0.99067469 0.98022425 1.00000000
## 28 0.99138580 0.98107624 1.00000000
## 29 0.99204269 0.98187985 1.00000000
## 30 0.99264948 0.98263743 1.00000000
## 31 0.99317142 0.98330195 1.00000000
## 32 0.99369214 0.98397812 1.00000000
## 33 0.99417315 0.98461591 1.00000000
## 34 0.99461749 0.98521781 1.00000000
## 35 0.99502793 0.98578618 1.00000000
## 36 0.99540708 0.98632325 1.00000000
## 37 0.99575732 0.98683109 1.00000000
## 38 0.99608085 0.98731163 1.00000000
## 39 0.99637971 0.98776666 1.00000000
## 40 0.99665578 0.98819785 1.00000000
## 41 0.11437151 0.09044526 0.13829775
## 42 0.71404958 0.68782965 0.74026951
## 43 0.83540700 0.81628103 0.85453296
## 44 0.89049748 0.87523783 0.90575713
## 45 0.91979580 0.90612669 0.93346492
## 46 0.93844882 0.92557731 0.95132034
## 47 0.95154502 0.93927418 0.96381587
## 48 0.96032455 0.94859894 0.97205016
## 49 0.96693307 0.95578028 0.97808585
## 50 0.97160537 0.96098839 0.98222234
## 51 0.97513590 0.96501808 0.98525372
## 52 0.97793683 0.96828208 0.98759158
## 53 0.97999182 0.97071540 0.98926823
## 54 0.98164233 0.97268725 0.99059742
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## 861 0.97642096 0.96024478 0.99259715
## 862 0.97807997 0.96155680 0.99460314
## 863 0.97962226 0.96286655 0.99637797
## 864 0.98114794 0.96424636 0.99804952
## 865 0.98247436 0.96551327 0.99943545
## 866 0.98378651 0.96682809 1.00000000
## 867 0.98492728 0.96802149 1.00000000
## 868 0.98598779 0.96917387 1.00000000
## 869 0.98703689 0.97035599 1.00000000
## 870 0.98794897 0.97141931 1.00000000
## 871 0.98885123 0.97250555 1.00000000
## 872 0.98963565 0.97347944 1.00000000
## 873 0.99041163 0.97447177 1.00000000
## 874 0.99108626 0.97535963 1.00000000
## 875 0.99171343 0.97620768 1.00000000
## 876 0.99233385 0.97706994 1.00000000
## 877 0.99287323 0.97784014 1.00000000
## 878 0.99340682 0.97862268 1.00000000
## 879 0.99387071 0.97932131 1.00000000
## 880 0.99432961 0.98003091 1.00000000
## 881 0.13675699 0.10924064 0.16427333
## 882 0.69084742 0.65475898 0.72693585
## 883 0.81206001 0.78032724 0.84379278
## 884 0.86776594 0.83974559 0.89578628
## 885 0.89591358 0.87062965 0.92119751
## 886 0.91348927 0.89049158 0.93648696
## 887 0.92418871 0.90302093 0.94535650
## 888 0.93076971 0.91099070 0.95054872
## 889 0.93575362 0.91716574 0.95434150
## 890 0.93949814 0.92182629 0.95716999
## 891 0.94233594 0.92530009 0.95937179
## 892 0.94495353 0.92839795 0.96150911
## 893 0.94729956 0.93105021 0.96354891
## 894 0.94932979 0.93323702 0.96542257
## 895 0.95138528 0.93534675 0.96742381
## 896 0.95334522 0.93726389 0.96942655
## 897 0.95510128 0.93890612 0.97129645
## 898 0.95691039 0.94052402 0.97329675
## 899 0.95864662 0.94200336 0.97528988
## 900 0.95875980 0.94209814 0.97542146
## 901 0.95887267 0.94219267 0.97555266
## 902 0.96031218 0.94340107 0.97722330
## 903 0.96180613 0.94466623 0.97894604
## 904 0.96324385 0.94590048 0.98058722
## 905 0.96462744 0.94710759 0.98214730
## 906 0.96595896 0.94828954 0.98362838
## 907 0.96724035 0.94944723 0.98503346
## 908 0.96847351 0.95058102 0.98636600
## 909 0.96966024 0.95169093 0.98762956
## 910 0.97080231 0.95277689 0.98882773
## 911 0.97190138 0.95383881 0.98996396
## 912 0.97295909 0.95487663 0.99104155
## 913 0.97397698 0.95589035 0.99206360
## 914 0.97495655 0.95688005 0.99303305
## 915 0.97589925 0.95784585 0.99395265
## 916 0.97680646 0.95878798 0.99482494
## 917 0.97767953 0.95970670 0.99565235
## 918 0.97851973 0.96060233 0.99643712
## 919 0.97932830 0.96147523 0.99718137
## 920 0.98010643 0.96232580 0.99788707
## 921 0.06215005 0.05408252 0.07021758
## 922 0.67668557 0.64625031 0.70712084
## 923 0.83245344 0.81300821 0.85189866
## 924 0.89425700 0.88073327 0.90778073
## 925 0.92632696 0.91467730 0.93797663
## 926 0.94533766 0.93399945 0.95667587
## 927 0.95755552 0.94629131 0.96881973
## 928 0.96584105 0.95472875 0.97695335
## 929 0.97167392 0.96080192 0.98254592
## 930 0.97589497 0.96531154 0.98647840
## 931 0.97901707 0.96873561 0.98929853
## 932 0.98136907 0.97137905 0.99135909
## 933 0.98316847 0.97344285 0.99289410
## 934 0.98456145 0.97506051 0.99406240
## 935 0.98564665 0.97631985 0.99497345
## 936 0.98649055 0.97727759 0.99570350
## 937 0.98713778 0.97796969 0.99630588
## 938 0.98761825 0.97841884 0.99681767
## 939 0.98795181 0.97863967 0.99726395
## 940 0.98796344 0.97865432 0.99727256
## 941 0.98797506 0.97866888 0.99728123
## 942 0.98821647 0.97895797 0.99747496
## 943 0.98846418 0.97923404 0.99769431
## 944 0.98870668 0.97949188 0.99792147
## 945 0.98894408 0.97973834 0.99814982
## 946 0.98916604 0.97996748 0.99836459
## 947 0.98939379 0.98020442 0.99858315
## 948 0.98961675 0.98044046 0.99879303
## 949 0.98983502 0.98067712 0.99899292
## 950 0.99004871 0.98091531 0.99918210
## 951 0.99024849 0.98114456 0.99935241
## 952 0.99045348 0.98138687 0.99952009
## 953 0.99065416 0.98163136 0.99967696
## 954 0.99085063 0.98187788 0.99982337
## 955 0.99104296 0.98212617 0.99995976
## 956 0.99122278 0.98236454 1.00000000
## 957 0.99140729 0.98261537 1.00000000
## 958 0.99158793 0.98286698 1.00000000
## 959 0.99176476 0.98311901 1.00000000
## 960 0.99193788 0.98337114 1.00000000
## 961 0.35175879 0.27431237 0.42920522
## 962 0.70561264 0.67101927 0.74020601
## 963 0.78940774 0.76185922 0.81695625
## 964 0.84680123 0.82206581 0.87153666
## 965 0.88639405 0.86424033 0.90854777
## 966 0.91396162 0.89400772 0.93391551
## 967 0.93336108 0.91514241 0.95157975
## 968 0.94715818 0.93030830 0.96400807
## 969 0.95706396 0.94132839 0.97279952
## 970 0.96423172 0.94942222 0.97904121
## 971 0.96945380 0.95540483 0.98350277
## 972 0.97328841 0.95983184 0.98674497
## 973 0.97613936 0.96309595 0.98918277
## 974 0.97830520 0.96548748 0.99112292
## 975 0.98000924 0.96723032 0.99278816
## 976 0.98141829 0.96850170 0.99433487
## 977 0.98265471 0.96944193 0.99586748
## 978 0.98380479 0.97015885 0.99745072
## 979 0.98492462 0.97072986 0.99911939
## 980 0.98502546 0.97079700 0.99925392
## 981 0.98512563 0.97086501 0.99938624
## 982 0.98609115 0.97158994 1.00000000
## 983 0.98699399 0.97237864 1.00000000
## 984 0.98791959 0.97328669 1.00000000
## 985 0.98870375 0.97412520 1.00000000
## 986 0.98950766 0.97504357 1.00000000
## 987 0.99018874 0.97586451 1.00000000
## 988 0.99082560 0.97666594 1.00000000
## 989 0.99147851 0.97752061 1.00000000
## 990 0.99203166 0.97827077 1.00000000
## 991 0.99259874 0.97906508 1.00000000
## 992 0.99307917 0.97975866 1.00000000
## 993 0.99357170 0.98049031 1.00000000
## 994 0.99398897 0.98112740 1.00000000
## 995 0.99437916 0.98173841 1.00000000
## 996 0.99477917 0.98238129 1.00000000
## 997 0.99511806 0.98294009 1.00000000
## 998 0.99546549 0.98352769 1.00000000
## 999 0.99575984 0.98403827 1.00000000
## 1000 0.99606159 0.98457513 1.00000000
## 1001 0.16285767 0.11955225 0.20616309
## 1002 0.62516048 0.58060372 0.66971724
## 1003 0.74446809 0.70490722 0.78402895
## 1004 0.81486415 0.77897969 0.85074861
## 1005 0.85340245 0.82006725 0.88673765
## 1006 0.88068497 0.84965571 0.91171423
## 1007 0.89790082 0.86870030 0.92710133
## 1008 0.91153339 0.88404671 0.93902007
## 1009 0.92098749 0.89481433 0.94716066
## 1010 0.92910660 0.90409062 0.95412257
## 1011 0.93515474 0.91096041 0.95934907
## 1012 0.94024272 0.91666129 0.96382414
## 1013 0.94496635 0.92184272 0.96808998
## 1014 0.94869526 0.92582347 0.97156704
## 1015 0.95221972 0.92946563 0.97497380
## 1016 0.95501693 0.93224616 0.97778769
## 1017 0.95764300 0.93473540 0.98055060
## 1018 0.95968731 0.93655746 0.98281716
## 1019 0.96153846 0.93807099 0.98500594
## 1020 0.96167731 0.93817888 0.98517574
## 1021 0.96181566 0.93828704 0.98534428
## 1022 0.96317198 0.93938469 0.98695927
## 1023 0.96460835 0.94062726 0.98858944
## 1024 0.96598870 0.94190243 0.99007496
## 1025 0.96731521 0.94320185 0.99142856
## 1026 0.96858998 0.94451622 0.99266374
## 1027 0.96981504 0.94583675 0.99379332
## 1028 0.97099232 0.94715573 0.99482890
## 1029 0.97212368 0.94846667 0.99578068
## 1030 0.97321091 0.94976428 0.99665755
## 1031 0.97416246 0.95092876 0.99739617
## 1032 0.97517018 0.95218992 0.99815045
## 1033 0.97613860 0.95342783 0.99884936
## 1034 0.97706924 0.95464054 0.99949794
## 1035 0.97796359 0.95582661 1.00000000
## 1036 0.97882306 0.95698506 1.00000000
## 1037 0.97964900 0.95811525 1.00000000
## 1038 0.98044273 0.95921685 1.00000000
## 1039 0.98120551 0.96028975 1.00000000
## 1040 0.98193853 0.96133404 1.00000000
## 1041 0.28952106 0.24958577 0.32945635
## 1042 0.83973690 0.82017731 0.85929649
## 1043 0.90966913 0.89407682 0.92526143
## 1044 0.93536280 0.92159573 0.94912987
## 1045 0.94870255 0.93637295 0.96103214
## 1046 0.95704294 0.94604105 0.96804483
## 1047 0.96277406 0.95292942 0.97261871
## 1048 0.96693917 0.95804407 0.97583427
## 1049 0.97010412 0.96195407 0.97825417
## 1050 0.97261278 0.96502450 0.98020106
## 1051 0.97461947 0.96742477 0.98181418
## 1052 0.97639921 0.96948211 0.98331631
## 1053 0.97796738 0.97121853 0.98471622
## 1054 0.97938288 0.97271107 0.98605469
## 1055 0.98068457 0.97401196 0.98735717
## 1056 0.98189892 0.97515684 0.98864100
## 1057 0.98304484 0.97617042 0.98991927
## 1058 0.98413657 0.97707019 0.99120295
## 1059 0.98518519 0.97786851 0.99250186
## 1060 0.98521946 0.97789359 0.99254534
## 1061 0.98525366 0.97791866 0.99258866
## 1062 0.98617975 0.97862073 0.99373877
## 1063 0.98704768 0.97931994 0.99477542
## 1064 0.98788919 0.98003637 0.99574200
## 1065 0.98864976 0.98071649 0.99658303
## 1066 0.98936257 0.98138193 0.99734321
## 1067 0.99005368 0.98205300 0.99805436
## 1068 0.99067832 0.98268156 0.99867508
## 1069 0.99126373 0.98328981 0.99923765
## 1070 0.99183133 0.98389752 0.99976514
## 1071 0.99234433 0.98446230 1.00000000
## 1072 0.99284172 0.98502434 1.00000000
## 1073 0.99329126 0.98554497 1.00000000
## 1074 0.99371258 0.98604421 1.00000000
## 1075 0.99412107 0.98653917 1.00000000
## 1076 0.99449028 0.98699626 1.00000000
## 1077 0.99483629 0.98743350 1.00000000
## 1078 0.99517178 0.98786615 1.00000000
## 1079 0.99547500 0.98826507 1.00000000
## 1080 0.99576898 0.98865954 1.00000000
## 1081 0.13857819 0.10285284 0.17430354
## 1082 0.60221049 0.57289786 0.63152311
## 1083 0.73498328 0.71183350 0.75813307
## 1084 0.81267267 0.79316550 0.83217984
## 1085 0.86197634 0.84461953 0.87933315
## 1086 0.89495366 0.87898837 0.91091896
## 1087 0.91789044 0.90296948 0.93281141
## 1088 0.93433024 0.92024825 0.94841223
## 1089 0.94640010 0.93299694 0.95980326
## 1090 0.95544358 0.94258371 0.96830344
## 1091 0.96234671 0.94991669 0.97477674
## 1092 0.96771483 0.95562000 0.97980965
## 1093 0.97197212 0.96013036 0.98381388
## 1094 0.97541997 0.96375453 0.98708542
## 1095 0.97827310 0.96670696 0.98983924
## 1096 0.98068353 0.96913639 0.99223068
## 1097 0.98275793 0.97114568 0.99437019
## 1098 0.98457089 0.97280684 0.99633494
## 1099 0.98630137 0.97427381 0.99832893
## 1100 0.98642590 0.97438048 0.99847133
## 1101 0.98654930 0.97448710 0.99861151
## 1102 0.98783487 0.97565674 1.00000000
## 1103 0.98899757 0.97681212 1.00000000
## 1104 0.99013960 0.97803707 1.00000000
## 1105 0.99108202 0.97911341 1.00000000
## 1106 0.99200769 0.98022771 1.00000000
## 1107 0.99277157 0.98119074 1.00000000
## 1108 0.99352187 0.98217706 1.00000000
## 1109 0.99414102 0.98302367 1.00000000
## 1110 0.99474918 0.98388718 1.00000000
## 1111 0.99525103 0.98462663 1.00000000
## 1112 0.99574397 0.98538004 1.00000000
## 1113 0.99615074 0.98602506 1.00000000
## 1114 0.99655029 0.98668252 1.00000000
## 1115 0.99688000 0.98724589 1.00000000
## 1116 0.99720385 0.98782083 1.00000000
## 1117 0.99747110 0.98831423 1.00000000
## 1118 0.99773359 0.98881865 1.00000000
## 1119 0.99795021 0.98925236 1.00000000
## 1120 0.99816297 0.98969666 1.00000000
## 1121 0.06994467 0.05910526 0.08078408
## 1122 0.61280361 0.58636993 0.63923729
## 1123 0.77559181 0.75077852 0.80040510
## 1124 0.84858102 0.82404917 0.87311287
## 1125 0.88763736 0.86374311 0.91153162
## 1126 0.91132824 0.88806403 0.93459245
## 1127 0.92712485 0.90448995 0.94975974
## 1128 0.93838891 0.91643441 0.96034340
## 1129 0.94677884 0.92554023 0.96801744
## 1130 0.95352031 0.93302530 0.97401532
## 1131 0.95842169 0.93857075 0.97827263
## 1132 0.96225639 0.94296863 0.98154416
## 1133 0.96527460 0.94646242 0.98408679
## 1134 0.96766469 0.94924426 0.98608512
## 1135 0.96957087 0.95146649 0.98767526
## 1136 0.97110286 0.95324705 0.98895868
## 1137 0.97234201 0.95467349 0.99001054
## 1138 0.97334585 0.95580664 0.99088506
## 1139 0.97419355 0.95672818 0.99165891
## 1140 0.97423524 0.95676992 0.99170056
## 1141 0.97427686 0.95681155 0.99174217
## 1142 0.97493376 0.95746448 0.99240304
## 1143 0.97557389 0.95809857 0.99304920
## 1144 0.97619766 0.95872024 0.99367508
## 1145 0.97684298 0.95937195 0.99431402
## 1146 0.97743435 0.95997987 0.99488883
## 1147 0.97801062 0.96058419 0.99543704
## 1148 0.97857217 0.96118579 0.99595854
## 1149 0.97915311 0.96182243 0.99648379
## 1150 0.97968548 0.96241922 0.99695174
## 1151 0.98020426 0.96301350 0.99739502
## 1152 0.98070979 0.96360492 0.99781466
## 1153 0.98123278 0.96422971 0.99823585
## 1154 0.98171204 0.96481389 0.99861019
## 1155 0.98217907 0.96539387 0.99896426
## 1156 0.98263416 0.96596919 0.99929914
## 1157 0.98310498 0.96657489 0.99963507
## 1158 0.98353643 0.96713929 0.99993357
## 1159 0.98395687 0.96769783 1.00000000
## 1160 0.98439182 0.96828450 1.00000000
##
## $coverage_based
## Assemblage SC m Method Order.q qD qD.LCL
## 1 BE10 0.39408454 1 Rarefaction 0 1.000005 0.8786546
## 2 BE10 0.81624219 15 Rarefaction 0 5.138523 4.1329820
## 3 BE10 0.89466844 30 Rarefaction 0 7.261202 6.0155349
## 4 BE10 0.92783460 44 Rarefaction 0 8.493793 7.0305987
## 5 BE10 0.94612196 59 Rarefaction 0 9.433918 7.7514076
## 6 BE10 0.95625439 74 Rarefaction 0 10.164353 8.2607684
## 7 BE10 0.96206318 88 Rarefaction 0 10.736163 8.6178472
## 8 BE10 0.96623309 103 Rarefaction 0 11.274110 8.9223774
## 9 BE10 0.96906748 117 Rarefaction 0 11.727560 9.1599486
## 10 BE10 0.97146996 132 Rarefaction 0 12.174118 9.3438010
## 11 BE10 0.97349012 147 Rarefaction 0 12.587567 9.4450544
## 12 BE10 0.97516349 161 Rarefaction 0 12.947639 9.5181469
## 13 BE10 0.97680512 176 Rarefaction 0 13.308532 9.5814216
## 14 BE10 0.97823491 190 Rarefaction 0 13.623868 9.6282137
## 15 BE10 0.97968357 205 Rarefaction 0 13.940110 9.6634367
## 16 BE10 0.98106612 220 Rarefaction 0 14.235107 9.6715965
## 17 BE10 0.98231255 234 Rarefaction 0 14.492039 9.6484607
## 18 BE10 0.98361695 249 Rarefaction 0 14.748190 9.6088613
## 19 BE10 0.98490566 263 Rarefaction 0 14.973973 9.5468705
## 20 BE10 0.98499094 265 Observed 0 15.000000 9.5524970
## 21 BE10 0.98507574 266 Extrapolation 0 15.015009 9.5460462
## 22 BE10 0.98613547 279 Extrapolation 0 15.202582 9.4685094
## 23 BE10 0.98719272 293 Extrapolation 0 15.389716 9.3850394
## 24 BE10 0.98816936 307 Extrapolation 0 15.562580 9.3095815
## 25 BE10 0.98907151 321 Extrapolation 0 15.722262 9.2580115
## 26 BE10 0.98990488 335 Extrapolation 0 15.869767 9.1861872
## 27 BE10 0.99067469 349 Extrapolation 0 16.006024 9.1154660
## 28 BE10 0.99138580 363 Extrapolation 0 16.131891 9.0452025
## 29 BE10 0.99204269 377 Extrapolation 0 16.248159 8.9754033
## 30 BE10 0.99264948 391 Extrapolation 0 16.355562 8.9068017
## 31 BE10 0.99317142 404 Extrapolation 0 16.447945 8.8453919
## 32 BE10 0.99369214 418 Extrapolation 0 16.540113 8.7822171
## 33 BE10 0.99417315 432 Extrapolation 0 16.625252 8.7222688
## 34 BE10 0.99461749 446 Extrapolation 0 16.703899 8.6656217
## 35 BE10 0.99502793 460 Extrapolation 0 16.776548 8.6122896
## 36 BE10 0.99540708 474 Extrapolation 0 16.843658 8.5622431
## 37 BE10 0.99575732 488 Extrapolation 0 16.905650 8.5154273
## 38 BE10 0.99608085 502 Extrapolation 0 16.962915 8.4717812
## 39 BE10 0.99637971 516 Extrapolation 0 17.015813 8.4312253
## 40 BE10 0.99665578 530 Extrapolation 0 17.064677 8.3933990
## 41 BE11 0.11437155 1 Rarefaction 0 1.000000 0.8455083
## 42 BE11 0.71404943 24 Rarefaction 0 12.039820 10.5192615
## 43 BE11 0.83540696 47 Rarefaction 0 17.059839 15.0761811
## 44 BE11 0.89049749 71 Rarefaction 0 20.301219 18.0052450
## 45 BE11 0.91979579 94 Rarefaction 0 22.469925 19.9185231
## 46 BE11 0.93844882 117 Rarefaction 0 24.094760 21.2639202
## 47 BE11 0.95154503 141 Rarefaction 0 25.411433 22.2463801
## 48 BE11 0.96032454 164 Rarefaction 0 26.423741 22.9035679
## 49 BE11 0.96693307 188 Rarefaction 0 27.295731 23.3801000
## 50 BE11 0.97160537 211 Rarefaction 0 28.002310 23.6940436
## 51 BE11 0.97513590 234 Rarefaction 0 28.614707 23.9058960
## 52 BE11 0.97793683 258 Rarefaction 0 29.177696 24.0250165
## 53 BE11 0.97999182 281 Rarefaction 0 29.661528 23.8848442
## 54 BE11 0.98164234 305 Rarefaction 0 30.121871 23.6801905
## 55 BE11 0.98286542 328 Rarefaction 0 30.530064 23.5190088
## 56 BE11 0.98382524 351 Rarefaction 0 30.913169 23.4167581
## 57 BE11 0.98462189 375 Rarefaction 0 31.291853 23.3547970
## 58 BE11 0.98524932 398 Rarefaction 0 31.638444 23.3342058
## 59 BE11 0.98581560 421 Rarefaction 0 31.975202 23.3294089
## 60 BE11 0.98583798 423 Observed 0 32.000000 23.3413087
## 61 BE11 0.98586031 424 Extrapolation 0 32.014162 23.3420767
## 62 BE11 0.98634292 446 Extrapolation 0 32.320137 23.3490003
## 63 BE11 0.98680906 468 Extrapolation 0 32.615669 23.3454608
## 64 BE11 0.98725929 490 Extrapolation 0 32.901113 23.3338962
## 65 BE11 0.98769415 512 Extrapolation 0 33.176815 23.3164374
## 66 BE11 0.98813292 535 Extrapolation 0 33.454993 23.2940393
## 67 BE11 0.98853796 557 Extrapolation 0 33.711790 23.2696205
## 68 BE11 0.98892918 579 Extrapolation 0 33.959822 23.2420950
## 69 BE11 0.98930704 601 Extrapolation 0 34.199389 23.2121712
## 70 BE11 0.98967201 623 Extrapolation 0 34.430778 23.1804737
## 71 BE11 0.99004026 646 Extrapolation 0 34.664246 23.1461263
## 72 BE11 0.99038020 668 Extrapolation 0 34.879769 23.1130757
## 73 BE11 0.99070854 690 Extrapolation 0 35.087936 23.0813195
## 74 BE11 0.99102567 712 Extrapolation 0 35.288999 23.0487281
## 75 BE11 0.99133198 734 Extrapolation 0 35.483198 23.0151004
## 76 BE11 0.99164104 757 Extrapolation 0 35.679142 22.9792290
## 77 BE11 0.99192634 779 Extrapolation 0 35.860025 22.9445833
## 78 BE11 0.99220191 801 Extrapolation 0 36.034734 22.9099472
## 79 BE11 0.99246807 823 Extrapolation 0 36.203481 22.8756908
## 80 BE11 0.99273662 846 Extrapolation 0 36.373742 22.8408345
## 81 BE12 0.11947921 1 Rarefaction 0 1.000000 0.8994421
## 82 BE12 0.63117812 12 Rarefaction 0 7.345013 6.2671296
## 83 BE12 0.77676623 24 Rarefaction 0 10.836122 9.4297558
## 84 BE12 0.83948693 35 Rarefaction 0 12.944977 11.3785967
## 85 BE12 0.87978515 47 Rarefaction 0 14.630595 12.9352905
## 86 BE12 0.90448130 58 Rarefaction 0 15.821996 14.0222645
## 87 BE12 0.92414757 70 Rarefaction 0 16.854248 14.9524331
## 88 BE12 0.93794572 81 Rarefaction 0 17.616638 15.6314549
## 89 BE12 0.94978665 93 Rarefaction 0 18.293312 16.2287984
## 90 BE12 0.95842030 104 Rarefaction 0 18.800802 16.6766985
## 91 BE12 0.96594846 116 Rarefaction 0 19.256609 17.0833526
## 92 BE12 0.97145820 127 Rarefaction 0 19.602545 17.3932056
## 93 BE12 0.97625071 139 Rarefaction 0 19.917558 17.6455928
## 94 BE12 0.97974725 150 Rarefaction 0 20.160627 17.7406772
## 95 BE12 0.98279641 162 Rarefaction 0 20.386195 17.6410802
## 96 BE12 0.98505792 173 Rarefaction 0 20.563733 17.5249327
## 97 BE12 0.98711297 185 Rarefaction 0 20.731389 17.3766698
## 98 BE12 0.98875698 196 Rarefaction 0 20.864776 17.2368077
## 99 BE12 0.99043062 208 Rarefaction 0 20.989324 17.0837147
## 100 BE12 0.99056668 209 Observed 0 21.000000 17.0727124
## 101 BE12 0.99070080 210 Extrapolation 0 21.009433 17.0591314
## 102 BE12 0.99194150 220 Extrapolation 0 21.096696 16.9273797
## 103 BE12 0.99311595 231 Extrapolation 0 21.179299 16.7964805
## 104 BE12 0.99411924 242 Extrapolation 0 21.249863 16.6805378
## 105 BE12 0.99497630 253 Extrapolation 0 21.310144 16.5789468
## 106 BE12 0.99570846 264 Extrapolation 0 21.361639 16.4904988
## 107 BE12 0.99633391 275 Extrapolation 0 21.405629 16.4137528
## 108 BE12 0.99686821 286 Extrapolation 0 21.443208 16.3473787
## 109 BE12 0.99732464 297 Extrapolation 0 21.475310 16.2901124
## 110 BE12 0.99771455 308 Extrapolation 0 21.502734 16.2407942
## 111 BE12 0.99804763 319 Extrapolation 0 21.526160 16.1983834
## 112 BE12 0.99833217 330 Extrapolation 0 21.546173 16.1619537
## 113 BE12 0.99857524 341 Extrapolation 0 21.563269 16.1306915
## 114 BE12 0.99878289 352 Extrapolation 0 21.577873 16.1038821
## 115 BE12 0.99896027 363 Extrapolation 0 21.590349 16.0809071
## 116 BE12 0.99911180 374 Extrapolation 0 21.601007 16.0612274
## 117 BE12 0.99924125 385 Extrapolation 0 21.610111 16.0443773
## 118 BE12 0.99935183 396 Extrapolation 0 21.617889 16.0299554
## 119 BE12 0.99944629 407 Extrapolation 0 21.624533 16.0176161
## 120 BE12 0.99952699 418 Extrapolation 0 21.630209 16.0070590
## 121 BE13 0.05300481 1 Rarefaction 0 1.000000 0.9435347
## 122 BE13 0.58115955 19 Rarefaction 0 12.630229 11.2281670
## 123 BE13 0.75773941 37 Rarefaction 0 18.418020 16.2914066
## 124 BE13 0.83515803 56 Rarefaction 0 22.229057 19.4755040
## 125 BE13 0.87190830 74 Rarefaction 0 24.851476 21.5850638
## 126 BE13 0.89330283 92 Rarefaction 0 26.959730 23.2416461
## 127 BE13 0.90762563 111 Rarefaction 0 28.848596 24.7098347
## 128 BE13 0.91701137 129 Rarefaction 0 30.427140 25.9323366
## 129 BE13 0.92445702 148 Rarefaction 0 31.933920 27.0923832
## 130 BE13 0.93012965 166 Rarefaction 0 33.243929 28.0858737
## 131 BE13 0.93495832 184 Rarefaction 0 34.459532 28.9825712
## 132 BE13 0.93943469 203 Rarefaction 0 35.654193 29.8221704
## 133 BE13 0.94324420 221 Rarefaction 0 36.711439 30.5024993
## 134 BE13 0.94690765 240 Rarefaction 0 37.756304 31.0613776
## 135 BE13 0.95009556 258 Rarefaction 0 38.684491 31.4871355
## 136 BE13 0.95304544 276 Rarefaction 0 39.557362 31.8477027
## 137 BE13 0.95593050 295 Rarefaction 0 40.423183 32.1473347
## 138 BE13 0.95846878 313 Rarefaction 0 41.194587 32.3724136
## 139 BE13 0.96096096 332 Rarefaction 0 41.946537 32.4102197
## 140 BE13 0.96108718 333 Observed 0 42.000000 32.4211763
## 141 BE13 0.96121300 334 Extrapolation 0 42.038913 32.4161022
## 142 BE13 0.96329068 351 Extrapolation 0 42.681509 32.2936417
## 143 BE13 0.96525706 368 Extrapolation 0 43.289684 32.0795916
## 144 BE13 0.96722443 386 Extrapolation 0 43.898162 31.7935909
## 145 BE13 0.96898010 403 Extrapolation 0 44.441165 31.4903089
## 146 BE13 0.97073664 421 Extrapolation 0 44.984440 31.1509898
## 147 BE13 0.97230417 438 Extrapolation 0 45.469255 30.8233085
## 148 BE13 0.97387249 456 Extrapolation 0 45.954312 30.4775776
## 149 BE13 0.97527204 473 Extrapolation 0 46.387175 30.1517802
## 150 BE13 0.97667230 491 Extrapolation 0 46.820254 29.8110598
## 151 BE13 0.97792188 508 Extrapolation 0 47.206731 29.4961897
## 152 BE13 0.97917208 526 Extrapolation 0 47.593401 29.1722577
## 153 BE13 0.98028776 543 Extrapolation 0 47.938464 28.8762289
## 154 BE13 0.98140399 561 Extrapolation 0 48.283699 28.5739525
## 155 BE13 0.98240011 578 Extrapolation 0 48.591784 28.2995006
## 156 BE13 0.98339673 596 Extrapolation 0 48.900024 28.0209654
## 157 BE13 0.98428611 613 Extrapolation 0 49.175096 27.7693025
## 158 BE13 0.98517593 631 Extrapolation 0 49.450305 27.5147422
## 159 BE13 0.98597000 648 Extrapolation 0 49.695900 27.2853904
## 160 BE13 0.98676447 666 Extrapolation 0 49.941617 27.0540011
## 161 BE14 0.05725589 1 Rarefaction 0 1.000000 0.9104808
## 162 BE14 0.57652840 20 Rarefaction 0 13.090894 11.2517135
## 163 BE14 0.74386538 40 Rarefaction 0 19.715455 17.1203738
## 164 BE14 0.81844953 60 Rarefaction 0 24.044830 20.8951148
## 165 BE14 0.85726202 79 Rarefaction 0 27.113811 23.5426939
## 166 BE14 0.88286082 99 Rarefaction 0 29.707402 25.7556211
## 167 BE14 0.90032026 119 Rarefaction 0 31.874375 27.5583882
## 168 BE14 0.91248101 138 Rarefaction 0 33.653498 28.9805617
## 169 BE14 0.92225218 158 Rarefaction 0 35.306795 30.2457933
## 170 BE14 0.92985846 178 Rarefaction 0 36.786474 31.3371916
## 171 BE14 0.93563297 197 Rarefaction 0 38.065288 32.2559124
## 172 BE14 0.94058411 217 Rarefaction 0 39.303941 33.1271391
## 173 BE14 0.94467832 237 Rarefaction 0 40.452149 33.9172779
## 174 BE14 0.94798360 256 Rarefaction 0 41.472750 34.6000214
## 175 BE14 0.95101639 276 Rarefaction 0 42.483623 35.2422197
## 176 BE14 0.95372344 296 Rarefaction 0 43.437130 35.7814027
## 177 BE14 0.95608650 315 Rarefaction 0 44.294855 36.1770835
## 178 BE14 0.95842760 335 Rarefaction 0 45.150687 36.4915338
## 179 BE14 0.96067416 354 Rarefaction 0 45.937157 36.7034257
## 180 BE14 0.96078462 356 Observed 0 46.000000 36.7346586
## 181 BE14 0.96089478 357 Extrapolation 0 46.039215 36.7441956
## 182 BE14 0.96282550 375 Extrapolation 0 46.726552 36.8980976
## 183 BE14 0.96476016 394 Extrapolation 0 47.415292 37.0330360
## 184 BE14 0.96659414 413 Extrapolation 0 48.068189 37.1491024
## 185 BE14 0.96824347 431 Extrapolation 0 48.655350 37.2412718
## 186 BE14 0.96989617 450 Extrapolation 0 49.243710 37.3298795
## 187 BE14 0.97146286 469 Extrapolation 0 49.801451 37.3881253
## 188 BE14 0.97287180 487 Extrapolation 0 50.303037 37.4179597
## 189 BE14 0.97428363 506 Extrapolation 0 50.805647 37.4315200
## 190 BE14 0.97562198 525 Extrapolation 0 51.282100 37.4325163
## 191 BE14 0.97682558 543 Extrapolation 0 51.710582 37.4194812
## 192 BE14 0.97803164 562 Extrapolation 0 52.139940 37.3941201
## 193 BE14 0.97917494 581 Extrapolation 0 52.546952 37.3600726
## 194 BE14 0.98020312 599 Extrapolation 0 52.912986 37.3217894
## 195 BE14 0.98123341 618 Extrapolation 0 53.279767 37.2766572
## 196 BE14 0.98221007 637 Extrapolation 0 53.627460 37.2272736
## 197 BE14 0.98308841 655 Extrapolation 0 53.940146 37.1778385
## 198 BE14 0.98396853 674 Extrapolation 0 54.253471 37.1237405
## 199 BE14 0.98480285 693 Extrapolation 0 54.550490 37.0686749
## 200 BE14 0.98559375 712 Extrapolation 0 54.832051 37.0132317
## 201 BE15 0.03682863 1 Rarefaction 0 1.000007 0.9766744
## 202 BE15 0.27403269 9 Rarefaction 0 7.814114 6.6403508
## 203 BE15 0.45201084 18 Rarefaction 0 13.581024 11.5990427
## 204 BE15 0.55989945 26 Rarefaction 0 17.562950 15.0289813
## 205 BE15 0.64541235 35 Rarefaction 0 21.159341 18.1147788
## 206 BE15 0.70633001 44 Rarefaction 0 24.092473 20.6217697
## 207 BE15 0.74681802 52 Rarefaction 0 26.293255 22.5015504
## 208 BE15 0.78188506 61 Rarefaction 0 28.424767 24.3204128
## 209 BE15 0.80642382 69 Rarefaction 0 30.080358 25.7214755
## 210 BE15 0.82864400 78 Rarefaction 0 31.730039 27.0818228
## 211 BE15 0.84663366 87 Rarefaction 0 33.197592 28.2182094
## 212 BE15 0.85993315 95 Rarefaction 0 34.376520 29.0166461
## 213 BE15 0.87255116 104 Rarefaction 0 35.585025 29.5507038
## 214 BE15 0.88211068 112 Rarefaction 0 36.570247 29.6155962
## 215 BE15 0.89137544 121 Rarefaction 0 37.593140 29.2803152
## 216 BE15 0.89936200 130 Rarefaction 0 38.537966 28.7970830
## 217 BE15 0.90558182 138 Rarefaction 0 39.320806 28.3781878
## 218 BE15 0.91175739 147 Rarefaction 0 40.145276 27.9772059
## 219 BE15 0.91719745 156 Rarefaction 0 40.889723 27.5386358
## 220 BE15 0.91776515 157 Observed 0 41.000000 27.5193468
## 221 BE15 0.91832895 158 Extrapolation 0 41.082235 27.4661903
## 222 BE15 0.92270243 166 Extrapolation 0 41.720138 27.0306716
## 223 BE15 0.92684171 174 Extrapolation 0 42.323882 26.5615819
## 224 BE15 0.93075933 182 Extrapolation 0 42.895295 26.0825703
## 225 BE15 0.93446717 190 Extrapolation 0 43.436109 25.6055139
## 226 BE15 0.93840168 199 Extrapolation 0 44.009986 25.0819775
## 227 BE15 0.94170027 207 Extrapolation 0 44.491108 24.6244457
## 228 BE15 0.94482222 215 Extrapolation 0 44.946466 24.1775659
## 229 BE15 0.94777698 223 Extrapolation 0 45.377440 23.7409042
## 230 BE15 0.95057352 231 Extrapolation 0 45.785336 23.3167250
## 231 BE15 0.95354103 240 Extrapolation 0 46.218168 22.8554902
## 232 BE15 0.95602890 248 Extrapolation 0 46.581042 22.4574070
## 233 BE15 0.95838355 256 Extrapolation 0 46.924485 22.0808649
## 234 BE15 0.96061211 264 Extrapolation 0 47.249536 21.7163970
## 235 BE15 0.96272133 272 Extrapolation 0 47.557180 21.3653488
## 236 BE15 0.96495950 281 Extrapolation 0 47.883633 20.9929722
## 237 BE15 0.96683592 289 Extrapolation 0 48.157322 20.6762076
## 238 BE15 0.96861185 297 Extrapolation 0 48.416355 20.3741217
## 239 BE15 0.97029268 305 Extrapolation 0 48.661516 20.0862871
## 240 BE15 0.97207628 314 Extrapolation 0 48.921666 19.7789246
## 241 BE16 0.13215078 1 Rarefaction 0 1.000000 0.9011225
## 242 BE16 0.72643580 20 Rarefaction 0 9.838873 8.5852724
## 243 BE16 0.83848640 39 Rarefaction 0 13.870647 12.1447401
## 244 BE16 0.89160832 58 Rarefaction 0 16.410253 14.3817975
## 245 BE16 0.92214177 77 Rarefaction 0 18.170956 15.9382155
## 246 BE16 0.94216733 97 Rarefaction 0 19.523011 17.1246434
## 247 BE16 0.95478907 116 Rarefaction 0 20.500838 17.9629810
## 248 BE16 0.96365661 135 Rarefaction 0 21.275370 18.6030908
## 249 BE16 0.97009659 154 Rarefaction 0 21.904830 19.0876822
## 250 BE16 0.97511101 174 Rarefaction 0 22.452784 19.4477785
## 251 BE16 0.97870991 193 Rarefaction 0 22.891794 19.6682878
## 252 BE16 0.98150301 212 Rarefaction 0 23.270094 19.7797882
## 253 BE16 0.98371261 231 Rarefaction 0 23.600869 19.8184032
## 254 BE16 0.98549713 250 Rarefaction 0 23.893699 19.8139654
## 255 BE16 0.98704331 270 Rarefaction 0 24.168590 19.7427155
## 256 BE16 0.98828703 289 Rarefaction 0 24.403287 19.6769290
## 257 BE16 0.98938008 308 Rarefaction 0 24.615804 19.6097291
## 258 BE16 0.99037797 327 Rarefaction 0 24.808491 19.5398255
## 259 BE16 0.99137931 346 Rarefaction 0 24.985996 19.4617387
## 260 BE16 0.99142871 348 Observed 0 25.000000 19.4638066
## 261 BE16 0.99147783 349 Extrapolation 0 25.008571 19.4593665
## 262 BE16 0.99231537 367 Extrapolation 0 25.154722 19.3805437
## 263 BE16 0.99307060 385 Extrapolation 0 25.286509 19.3009295
## 264 BE16 0.99375160 403 Extrapolation 0 25.405344 19.2252175
## 265 BE16 0.99439797 422 Extrapolation 0 25.518135 19.1649320
## 266 BE16 0.99494852 440 Extrapolation 0 25.614207 19.0902970
## 267 BE16 0.99544497 458 Extrapolation 0 25.700837 19.0195361
## 268 BE16 0.99589263 476 Extrapolation 0 25.778953 18.9531377
## 269 BE16 0.99631751 495 Extrapolation 0 25.853096 18.8880933
## 270 BE16 0.99667942 513 Extrapolation 0 25.916248 18.8314857
## 271 BE16 0.99700576 531 Extrapolation 0 25.973195 18.7804496
## 272 BE16 0.99730003 549 Extrapolation 0 26.024544 18.7340977
## 273 BE16 0.99757932 568 Extrapolation 0 26.073282 18.6850419
## 274 BE16 0.99781722 586 Extrapolation 0 26.114795 18.6426461
## 275 BE16 0.99803174 604 Extrapolation 0 26.152228 18.6039463
## 276 BE16 0.99822518 622 Extrapolation 0 26.185983 18.5686740
## 277 BE16 0.99840877 641 Extrapolation 0 26.218021 18.5348707
## 278 BE16 0.99856516 659 Extrapolation 0 26.245309 18.5059226
## 279 BE16 0.99870617 677 Extrapolation 0 26.269916 18.4795446
## 280 BE16 0.99884001 696 Extrapolation 0 26.293271 18.4543397
## 281 BE17 0.05198763 1 Rarefaction 0 1.000003 0.9590244
## 282 BE17 0.43753991 12 Rarefaction 0 9.239211 8.0697500
## 283 BE17 0.63897372 24 Rarefaction 0 14.739254 12.9860475
## 284 BE17 0.73718204 35 Rarefaction 0 18.171697 16.0928538
## 285 BE17 0.80193865 47 Rarefaction 0 20.939539 18.6446248
## 286 BE17 0.84173095 58 Rarefaction 0 22.907155 20.4999907
## 287 BE17 0.87343389 70 Rarefaction 0 24.622760 22.1536295
## 288 BE17 0.89585196 81 Rarefaction 0 25.898287 23.4034270
## 289 BE17 0.91544934 93 Rarefaction 0 27.036051 24.5257390
## 290 BE17 0.93016542 104 Rarefaction 0 27.890091 25.3673117
## 291 BE17 0.94351930 116 Rarefaction 0 28.652185 26.1127393
## 292 BE17 0.95379193 127 Rarefaction 0 29.220579 26.6584211
## 293 BE17 0.96326121 139 Rarefaction 0 29.721365 27.1110982
## 294 BE17 0.97062394 150 Rarefaction 0 30.087637 27.1583037
## 295 BE17 0.97745851 162 Rarefaction 0 30.401421 26.6863222
## 296 BE17 0.98279493 173 Rarefaction 0 30.621954 26.0454723
## 297 BE17 0.98775628 185 Rarefaction 0 30.800303 25.2851182
## 298 BE17 0.99162707 196 Rarefaction 0 30.915086 24.6170207
## 299 BE17 0.99521531 208 Rarefaction 0 30.992962 23.9387034
## 300 BE17 0.99547629 209 Observed 0 31.000000 23.8898449
## 301 BE17 0.99572304 210 Extrapolation 0 31.004524 23.8412580
## 302 BE17 0.99755915 220 Extrapolation 0 31.038186 23.4751470
## 303 BE17 0.99868299 231 Extrapolation 0 31.058789 23.2482241
## 304 BE17 0.99928938 242 Extrapolation 0 31.069907 23.1249629
## 305 BE17 0.99961657 253 Extrapolation 0 31.075905 23.0582246
## 306 BE17 0.99979311 264 Extrapolation 0 31.079142 23.0221499
## 307 BE17 0.99988837 275 Extrapolation 0 31.080888 23.0026659
## 308 BE17 0.99993977 286 Extrapolation 0 31.081830 22.9921456
## 309 BE17 0.99996750 297 Extrapolation 0 31.082339 22.9864678
## 310 BE17 0.99998246 308 Extrapolation 0 31.082613 22.9834038
## 311 BE17 0.99999054 319 Extrapolation 0 31.082761 22.9817505
## 312 BE17 0.99999489 330 Extrapolation 0 31.082841 22.9808584
## 313 BE17 0.99999725 341 Extrapolation 0 31.082884 22.9803770
## 314 BE17 0.99999851 352 Extrapolation 0 31.082907 22.9801173
## 315 BE17 0.99999920 363 Extrapolation 0 31.082920 22.9799772
## 316 BE17 0.99999957 374 Extrapolation 0 31.082927 22.9799015
## 317 BE17 0.99999977 385 Extrapolation 0 31.082930 22.9798607
## 318 BE17 0.99999987 396 Extrapolation 0 31.082932 22.9798387
## 319 BE17 0.99999993 407 Extrapolation 0 31.082933 22.9798268
## 320 BE17 0.99999996 418 Extrapolation 0 31.082934 22.9798204
## 321 BE18 0.09209837 1 Rarefaction 0 1.000015 0.8845747
## 322 BE18 0.62912716 21 Rarefaction 0 12.112883 10.1792407
## 323 BE18 0.75093743 41 Rarefaction 0 18.210636 15.3062374
## 324 BE18 0.81475664 62 Rarefaction 0 22.736554 19.0277231
## 325 BE18 0.85078840 82 Rarefaction 0 26.072385 21.6890024
## 326 BE18 0.87581477 103 Rarefaction 0 28.939057 23.8798044
## 327 BE18 0.89282127 123 Rarefaction 0 31.252804 25.5448476
## 328 BE18 0.90629084 144 Rarefaction 0 33.362582 26.9507925
## 329 BE18 0.91631973 164 Rarefaction 0 35.137729 28.0210155
## 330 BE18 0.92476065 185 Rarefaction 0 36.807404 28.8697198
## 331 BE18 0.93130597 205 Rarefaction 0 38.247900 29.3523942
## 332 BE18 0.93671757 225 Rarefaction 0 39.568693 29.4112248
## 333 BE18 0.94142393 246 Rarefaction 0 40.848993 29.1386458
## 334 BE18 0.94514889 266 Rarefaction 0 41.984017 28.9259124
## 335 BE18 0.94840708 287 Rarefaction 0 43.102250 28.8416280
## 336 BE18 0.95099661 307 Rarefaction 0 44.108755 28.8902609
## 337 BE18 0.95327517 328 Rarefaction 0 45.114333 29.0524564
## 338 BE18 0.95510772 348 Rarefaction 0 46.030936 29.2819304
## 339 BE18 0.95675676 368 Rarefaction 0 46.916623 29.5400707
## 340 BE18 0.95682988 370 Observed 0 47.000000 29.5963910
## 341 BE18 0.95690287 371 Extrapolation 0 47.043170 29.6112941
## 342 BE18 0.95826659 390 Extrapolation 0 47.849673 29.8942966
## 343 BE18 0.95958716 409 Extrapolation 0 48.630655 30.1656861
## 344 BE18 0.96093211 429 Extrapolation 0 49.426060 30.4412324
## 345 BE18 0.96216833 448 Extrapolation 0 50.157161 30.6900591
## 346 BE18 0.96342738 468 Extrapolation 0 50.901762 30.9468085
## 347 BE18 0.96458464 487 Extrapolation 0 51.586168 31.1785021
## 348 BE18 0.96570529 506 Extrapolation 0 52.248917 31.4012233
## 349 BE18 0.96684662 526 Extrapolation 0 52.923905 31.6239266
## 350 BE18 0.96789569 545 Extrapolation 0 53.544324 31.8253184
## 351 BE18 0.96896413 565 Extrapolation 0 54.176200 32.0271624
## 352 BE18 0.96994620 584 Extrapolation 0 54.756993 32.2099844
## 353 BE18 0.97094640 604 Extrapolation 0 55.348510 32.3938489
## 354 BE18 0.97186574 623 Extrapolation 0 55.892208 32.5611040
## 355 BE18 0.97275599 642 Extrapolation 0 56.418702 32.7217088
## 356 BE18 0.97366268 662 Extrapolation 0 56.954917 32.8837618
## 357 BE18 0.97449607 681 Extrapolation 0 57.447784 33.0308801
## 358 BE18 0.97534484 701 Extrapolation 0 57.949751 33.1791852
## 359 BE18 0.97612500 720 Extrapolation 0 58.411138 33.3142798
## 360 BE18 0.97691957 740 Extrapolation 0 58.881045 33.4500750
## 361 BE19 0.09812942 1 Rarefaction 0 1.000000 0.8714031
## 362 BE19 0.62136876 20 Rarefaction 0 11.653126 9.5653303
## 363 BE19 0.74983982 39 Rarefaction 0 17.536347 14.8131419
## 364 BE19 0.81750925 58 Rarefaction 0 21.624555 18.5449489
## 365 BE19 0.86006567 77 Rarefaction 0 24.681594 21.3937642
## 366 BE19 0.88943495 96 Rarefaction 0 27.060481 23.6560027
## 367 BE19 0.91096565 115 Rarefaction 0 28.957736 25.4851018
## 368 BE19 0.92743996 134 Rarefaction 0 30.494613 26.9639699
## 369 BE19 0.94042403 153 Rarefaction 0 31.751758 28.1518651
## 370 BE19 0.95085691 172 Rarefaction 0 32.786321 29.1041411
## 371 BE19 0.95933684 191 Rarefaction 0 33.640997 29.8692060
## 372 BE19 0.96626662 210 Rarefaction 0 34.349033 30.4837814
## 373 BE19 0.97193074 229 Rarefaction 0 34.937175 30.9695085
## 374 BE19 0.97653842 248 Rarefaction 0 35.427492 31.3017722
## 375 BE19 0.98024928 267 Rarefaction 0 35.838556 31.1668429
## 376 BE19 0.98318961 286 Rarefaction 0 36.186226 30.8720956
## 377 BE19 0.98546317 305 Rarefaction 0 36.484182 30.5937205
## 378 BE19 0.98715871 324 Rarefaction 0 36.744274 30.3926786
## 379 BE19 0.98840580 343 Rarefaction 0 36.979470 30.2982393
## 380 BE19 0.98845613 345 Observed 0 37.000000 30.3064074
## 381 BE19 0.98850625 346 Extrapolation 0 37.011544 30.3043406
## 382 BE19 0.98937207 364 Extrapolation 0 37.210970 30.2681990
## 383 BE19 0.99017267 382 Extrapolation 0 37.395374 30.2276838
## 384 BE19 0.99091295 400 Extrapolation 0 37.565887 30.1854451
## 385 BE19 0.99159747 418 Extrapolation 0 37.723556 30.1432453
## 386 BE19 0.99223043 436 Extrapolation 0 37.869347 30.1006943
## 387 BE19 0.99281571 454 Extrapolation 0 38.004156 30.0582332
## 388 BE19 0.99335690 472 Extrapolation 0 38.128809 30.0164527
## 389 BE19 0.99385732 490 Extrapolation 0 38.244073 29.9757701
## 390 BE19 0.99432004 508 Extrapolation 0 38.350654 29.9364857
## 391 BE19 0.99477071 527 Extrapolation 0 38.454458 29.8968641
## 392 BE19 0.99516463 545 Extrapolation 0 38.545191 29.8612106
## 393 BE19 0.99552888 563 Extrapolation 0 38.629089 29.8274326
## 394 BE19 0.99586569 581 Extrapolation 0 38.706667 29.7955336
## 395 BE19 0.99617712 599 Extrapolation 0 38.778401 29.7654895
## 396 BE19 0.99646510 617 Extrapolation 0 38.844731 29.7372557
## 397 BE19 0.99673138 635 Extrapolation 0 38.906065 29.7107735
## 398 BE19 0.99697760 653 Extrapolation 0 38.962778 29.6859744
## 399 BE19 0.99720528 671 Extrapolation 0 39.015219 29.6627838
## 400 BE19 0.99742702 690 Extrapolation 0 39.066295 29.6399636
## 401 BE2 0.07262649 1 Rarefaction 0 1.000008 0.9444316
## 402 BE2 0.74343162 25 Rarefaction 0 13.023071 11.5801312
## 403 BE2 0.86969842 49 Rarefaction 0 17.407398 15.3689575
## 404 BE2 0.91170859 73 Rarefaction 0 19.980528 17.5934009
## 405 BE2 0.93241015 97 Rarefaction 0 21.838221 19.2476473
## 406 BE2 0.94505087 121 Rarefaction 0 23.304229 20.5613276
## 407 BE2 0.95360086 145 Rarefaction 0 24.518635 21.6327167
## 408 BE2 0.95975632 169 Rarefaction 0 25.557722 22.5352750
## 409 BE2 0.96440804 193 Rarefaction 0 26.467684 23.3226842
## 410 BE2 0.96807227 217 Rarefaction 0 27.278151 24.0284168
## 411 BE2 0.97106761 241 Rarefaction 0 28.008871 24.6707947
## 412 BE2 0.97360130 265 Rarefaction 0 28.673350 25.2587909
## 413 BE2 0.97581399 289 Rarefaction 0 29.280941 25.7955466
## 414 BE2 0.97780377 313 Rarefaction 0 29.838156 26.2794204
## 415 BE2 0.97963947 337 Rarefaction 0 30.349502 26.7010767
## 416 BE2 0.98136873 361 Rarefaction 0 30.818091 27.0176444
## 417 BE2 0.98302314 385 Rarefaction 0 31.246090 27.1159478
## 418 BE2 0.98462199 409 Rarefaction 0 31.635050 27.0846725
## 419 BE2 0.98617512 432 Rarefaction 0 31.975039 26.9520685
## 420 BE2 0.98623868 434 Observed 0 32.000000 26.9560902
## 421 BE2 0.98630195 435 Extrapolation 0 32.013761 26.9492431
## 422 BE2 0.98762262 457 Extrapolation 0 32.301007 26.7647221
## 423 BE2 0.98886738 480 Extrapolation 0 32.571742 26.5433049
## 424 BE2 0.98998695 503 Extrapolation 0 32.815250 26.3025953
## 425 BE2 0.99099394 526 Extrapolation 0 33.034269 26.0623885
## 426 BE2 0.99186224 548 Extrapolation 0 33.223124 25.8374698
## 427 BE2 0.99268063 571 Extrapolation 0 33.401124 25.6035246
## 428 BE2 0.99341672 594 Extrapolation 0 33.561224 25.3781770
## 429 BE2 0.99407878 617 Extrapolation 0 33.705222 25.1650634
## 430 BE2 0.99467426 640 Extrapolation 0 33.834739 24.9657958
## 431 BE2 0.99518773 662 Extrapolation 0 33.946419 24.7885839
## 432 BE2 0.99567169 685 Extrapolation 0 34.051680 24.6172211
## 433 BE2 0.99610697 708 Extrapolation 0 34.146354 24.4600216
## 434 BE2 0.99649848 731 Extrapolation 0 34.231508 24.3164241
## 435 BE2 0.99685062 754 Extrapolation 0 34.308098 24.1857047
## 436 BE2 0.99715426 776 Extrapolation 0 34.374140 24.0720355
## 437 BE2 0.99744045 799 Extrapolation 0 34.436386 23.9645292
## 438 BE2 0.99769786 822 Extrapolation 0 34.492372 23.8711330
## 439 BE2 0.99792938 845 Extrapolation 0 34.542727 23.7804402
## 440 BE2 0.99813761 868 Extrapolation 0 34.588019 23.6983700
## 441 BE20 0.24777798 1 Rarefaction 0 1.000000 0.8388872
## 442 BE20 0.63765407 9 Rarefaction 0 4.998873 3.5348617
## 443 BE20 0.72908010 17 Rarefaction 0 7.549565 5.6007875
## 444 BE20 0.78904434 25 Rarefaction 0 9.491691 7.0482811
## 445 BE20 0.83031142 33 Rarefaction 0 11.025321 8.0666241
## 446 BE20 0.85976895 41 Rarefaction 0 12.273574 8.7681636
## 447 BE20 0.88382201 50 Rarefaction 0 13.433703 9.2317641
## 448 BE20 0.89977722 58 Rarefaction 0 14.304538 9.3496075
## 449 BE20 0.91214270 66 Rarefaction 0 15.061033 9.1111613
## 450 BE20 0.92183727 74 Rarefaction 0 15.728438 8.4883687
## 451 BE20 0.92947966 82 Rarefaction 0 16.325806 7.6029723
## 452 BE20 0.93550847 90 Rarefaction 0 16.867927 6.6823115
## 453 BE20 0.94076516 99 Rarefaction 0 17.426260 5.8538557
## 454 BE20 0.94435685 107 Rarefaction 0 17.886973 5.3398964
## 455 BE20 0.94713630 115 Rarefaction 0 18.321914 5.0250582
## 456 BE20 0.94926245 123 Rarefaction 0 18.737001 4.8613120
## 457 BE20 0.95086636 131 Rarefaction 0 19.136982 4.8269348
## 458 BE20 0.95205760 139 Rarefaction 0 19.525644 4.9016672
## 459 BE20 0.95302013 148 Rarefaction 0 19.931441 5.0852316
## 460 BE20 0.95311065 149 Observed 0 20.000000 5.1278955
## 461 BE20 0.95320100 150 Extrapolation 0 20.046889 5.1539587
## 462 BE20 0.95382856 157 Extrapolation 0 20.372595 5.3179106
## 463 BE20 0.95453548 165 Extrapolation 0 20.739485 5.4990441
## 464 BE20 0.95523157 173 Extrapolation 0 21.100758 5.6760210
## 465 BE20 0.95591701 181 Extrapolation 0 21.456499 5.8491031
## 466 BE20 0.95650815 188 Extrapolation 0 21.763302 5.9975647
## 467 BE20 0.95717404 196 Extrapolation 0 22.108900 6.1640658
## 468 BE20 0.95782974 204 Extrapolation 0 22.449206 6.3274896
## 469 BE20 0.95847540 212 Extrapolation 0 22.784301 6.4881729
## 470 BE20 0.95911117 220 Extrapolation 0 23.114267 6.6466086
## 471 BE20 0.95965948 227 Extrapolation 0 23.398839 6.7809534
## 472 BE20 0.96027712 235 Extrapolation 0 23.719395 6.9390463
## 473 BE20 0.96088530 243 Extrapolation 0 24.035044 7.0923014
## 474 BE20 0.96148418 251 Extrapolation 0 24.345859 7.2419590
## 475 BE20 0.96207388 259 Extrapolation 0 24.651916 7.3889206
## 476 BE20 0.96258246 266 Extrapolation 0 24.915869 7.5154667
## 477 BE20 0.96315535 274 Extrapolation 0 25.213198 7.6579314
## 478 BE20 0.96371947 282 Extrapolation 0 25.505975 7.7983237
## 479 BE20 0.96427495 290 Extrapolation 0 25.794270 7.9369149
## 480 BE20 0.96482193 298 Extrapolation 0 26.078150 8.0740588
## 481 BE21 0.06068730 1 Rarefaction 0 1.000000 0.9345365
## 482 BE21 0.61740609 21 Rarefaction 0 13.115675 11.6468131
## 483 BE21 0.78513848 42 Rarefaction 0 19.201213 17.2997210
## 484 BE21 0.86027063 63 Rarefaction 0 22.873653 20.5606863
## 485 BE21 0.89945220 83 Rarefaction 0 25.261994 22.5077866
## 486 BE21 0.92460260 104 Rarefaction 0 27.101914 23.9141571
## 487 BE21 0.94107230 125 Rarefaction 0 28.509441 24.9656118
## 488 BE21 0.95207513 145 Rarefaction 0 29.577592 25.7610950
## 489 BE21 0.96053051 166 Rarefaction 0 30.494988 26.4413141
## 490 BE21 0.96685128 187 Rarefaction 0 31.257565 26.9916284
## 491 BE21 0.97147344 207 Rarefaction 0 31.874714 27.3943516
## 492 BE21 0.97525788 228 Rarefaction 0 32.434286 27.6202507
## 493 BE21 0.97822502 249 Rarefaction 0 32.922968 27.3380403
## 494 BE21 0.98047226 269 Rarefaction 0 33.336297 26.6334092
## 495 BE21 0.98235909 290 Rarefaction 0 33.726760 25.8780550
## 496 BE21 0.98385983 311 Rarefaction 0 34.081607 25.2038055
## 497 BE21 0.98499541 331 Rarefaction 0 34.393189 24.7022572
## 498 BE21 0.98592822 352 Rarefaction 0 34.698527 24.3224515
## 499 BE21 0.98663102 372 Rarefaction 0 34.979736 24.0943157
## 500 BE21 0.98665963 374 Observed 0 35.000000 24.0934833
## 501 BE21 0.98668818 375 Extrapolation 0 35.013340 24.0867215
## 502 BE21 0.98721918 394 Extrapolation 0 35.261452 23.9402135
## 503 BE21 0.98775527 414 Extrapolation 0 35.511937 23.7886627
## 504 BE21 0.98824370 433 Extrapolation 0 35.740160 23.6482900
## 505 BE21 0.98873682 453 Extrapolation 0 35.970566 23.5053270
## 506 BE21 0.98920924 473 Extrapolation 0 36.191308 23.3684864
## 507 BE21 0.98963968 492 Extrapolation 0 36.392431 23.2437032
## 508 BE21 0.99007424 512 Extrapolation 0 36.595478 23.1157090
## 509 BE21 0.99049057 532 Extrapolation 0 36.790008 22.9915753
## 510 BE21 0.99086990 551 Extrapolation 0 36.967249 22.8776946
## 511 BE21 0.99125286 571 Extrapolation 0 37.146186 22.7627350
## 512 BE21 0.99160178 590 Extrapolation 0 37.309219 22.6593766
## 513 BE21 0.99195403 610 Extrapolation 0 37.473812 22.5634859
## 514 BE21 0.99229152 630 Extrapolation 0 37.631501 22.4701932
## 515 BE21 0.99259901 649 Extrapolation 0 37.775175 22.3777420
## 516 BE21 0.99290944 669 Extrapolation 0 37.920223 22.2833623
## 517 BE21 0.99320685 689 Extrapolation 0 38.059188 22.1920058
## 518 BE21 0.99347782 708 Extrapolation 0 38.185802 22.1080104
## 519 BE21 0.99375139 728 Extrapolation 0 38.313627 22.0225059
## 520 BE21 0.99401349 748 Extrapolation 0 38.436091 21.9399419
## 521 BE22 0.11389760 1 Rarefaction 0 1.000000 0.9156240
## 522 BE22 0.63383206 13 Rarefaction 0 7.899470 6.7842485
## 523 BE22 0.78484421 26 Rarefaction 0 11.603773 10.1269564
## 524 BE22 0.85155042 39 Rarefaction 0 13.950398 12.2354822
## 525 BE22 0.88736372 52 Rarefaction 0 15.644976 13.7143048
## 526 BE22 0.90852845 64 Rarefaction 0 16.872635 14.7472108
## 527 BE22 0.92504806 77 Rarefaction 0 17.957382 15.6319333
## 528 BE22 0.93770177 90 Rarefaction 0 18.852568 16.3422308
## 529 BE22 0.94781145 103 Rarefaction 0 19.599491 16.9220194
## 530 BE22 0.95605909 116 Rarefaction 0 20.226704 17.4004544
## 531 BE22 0.96237501 128 Rarefaction 0 20.718152 17.7660804
## 532 BE22 0.96807363 141 Rarefaction 0 21.171920 18.0792680
## 533 BE22 0.97278365 154 Rarefaction 0 21.557731 18.2762613
## 534 BE22 0.97666412 167 Rarefaction 0 21.887441 18.1610867
## 535 BE22 0.97961802 179 Rarefaction 0 22.150670 17.8884967
## 536 BE22 0.98223039 192 Rarefaction 0 22.399347 17.5636571
## 537 BE22 0.98430687 205 Rarefaction 0 22.617351 17.2734319
## 538 BE22 0.98590600 218 Rarefaction 0 22.811278 17.0551951
## 539 BE22 0.98706897 231 Rarefaction 0 22.983640 16.9208530
## 540 BE22 0.98714318 232 Observed 0 23.000000 16.9177362
## 541 BE22 0.98721696 233 Extrapolation 0 23.012857 16.9114038
## 542 BE22 0.98807002 245 Extrapolation 0 23.161503 16.8334178
## 543 BE22 0.98886616 257 Extrapolation 0 23.300229 16.7572304
## 544 BE22 0.98960916 269 Extrapolation 0 23.429698 16.6843026
## 545 BE22 0.99030258 281 Extrapolation 0 23.550527 16.6155996
## 546 BE22 0.99094973 293 Extrapolation 0 23.663292 16.5527100
## 547 BE22 0.99155369 305 Extrapolation 0 23.768532 16.5009824
## 548 BE22 0.99216258 318 Extrapolation 0 23.874632 16.4381392
## 549 BE22 0.99268560 330 Extrapolation 0 23.965768 16.3826388
## 550 BE22 0.99317372 342 Extrapolation 0 24.050823 16.3298323
## 551 BE22 0.99362927 354 Extrapolation 0 24.130201 16.2797112
## 552 BE22 0.99405441 366 Extrapolation 0 24.204283 16.2322370
## 553 BE22 0.99445118 378 Extrapolation 0 24.273420 16.1873464
## 554 BE22 0.99485120 391 Extrapolation 0 24.343123 16.1415419
## 555 BE22 0.99519480 403 Extrapolation 0 24.402995 16.1017755
## 556 BE22 0.99551547 415 Extrapolation 0 24.458872 16.0643169
## 557 BE22 0.99581474 427 Extrapolation 0 24.511020 16.0288043
## 558 BE22 0.99609404 439 Extrapolation 0 24.559688 15.9960121
## 559 BE22 0.99635470 451 Extrapolation 0 24.605108 15.9649411
## 560 BE22 0.99661749 464 Extrapolation 0 24.650899 15.9334390
## 561 BE23 0.14398109 1 Rarefaction 0 1.000000 0.8620287
## 562 BE23 0.67438601 13 Rarefaction 0 7.303659 6.1625110
## 563 BE23 0.80211093 25 Rarefaction 0 10.396892 8.7278479
## 564 BE23 0.86004708 37 Rarefaction 0 12.413750 10.3970331
## 565 BE23 0.89180865 49 Rarefaction 0 13.902559 11.6595945
## 566 BE23 0.91378586 62 Rarefaction 0 15.168012 12.7154413
## 567 BE23 0.92844610 74 Rarefaction 0 16.118073 13.4647461
## 568 BE23 0.93994475 86 Rarefaction 0 16.910939 14.0401844
## 569 BE23 0.94924853 98 Rarefaction 0 17.578553 14.4415666
## 570 BE23 0.95743028 111 Rarefaction 0 18.187332 14.1994597
## 571 BE23 0.96355586 123 Rarefaction 0 18.663241 13.3098960
## 572 BE23 0.96853028 135 Rarefaction 0 19.072158 12.4952382
## 573 BE23 0.97251859 147 Rarefaction 0 19.426952 11.8229596
## 574 BE23 0.97565663 159 Rarefaction 0 19.738685 11.2821829
## 575 BE23 0.97822831 172 Rarefaction 0 20.038857 10.8802947
## 576 BE23 0.97993955 184 Rarefaction 0 20.290118 10.6506868
## 577 BE23 0.98109522 196 Rarefaction 0 20.523969 10.5617952
## 578 BE23 0.98175904 208 Rarefaction 0 20.746715 10.6039497
## 579 BE23 0.98198198 220 Rarefaction 0 20.968406 10.7696986
## 580 BE23 0.98203617 222 Observed 0 21.000000 10.7868145
## 581 BE23 0.98209020 223 Extrapolation 0 21.017964 10.7909305
## 582 BE23 0.98267387 234 Extrapolation 0 21.212036 10.8270683
## 583 BE23 0.98328894 246 Extrapolation 0 21.416544 10.8629474
## 584 BE23 0.98383354 257 Extrapolation 0 21.597627 10.8933514
## 585 BE23 0.98440744 269 Extrapolation 0 21.788447 10.9241135
## 586 BE23 0.98496096 281 Extrapolation 0 21.972493 10.9526541
## 587 BE23 0.98545108 292 Extrapolation 0 22.135458 10.9771008
## 588 BE23 0.98596756 304 Extrapolation 0 22.307185 11.0021550
## 589 BE23 0.98646570 316 Extrapolation 0 22.472817 11.0250953
## 590 BE23 0.98690678 327 Extrapolation 0 22.619476 11.0461537
## 591 BE23 0.98737157 339 Extrapolation 0 22.774021 11.0667838
## 592 BE23 0.98778313 350 Extrapolation 0 22.910864 11.0843744
## 593 BE23 0.98821682 362 Extrapolation 0 23.055065 11.1022506
## 594 BE23 0.98863511 374 Extrapolation 0 23.194148 11.1188801
## 595 BE23 0.98900549 385 Extrapolation 0 23.317299 11.1331245
## 596 BE23 0.98939579 397 Extrapolation 0 23.447072 11.1476750
## 597 BE23 0.98977223 409 Extrapolation 0 23.572239 11.1612902
## 598 BE23 0.99010555 420 Extrapolation 0 23.683068 11.1730324
## 599 BE23 0.99045679 432 Extrapolation 0 23.799857 11.1851282
## 600 BE23 0.99079557 444 Extrapolation 0 23.912500 11.1965833
## 601 BE24 0.32822193 1 Rarefaction 0 1.000001 0.9150583
## 602 BE24 0.76899938 18 Rarefaction 0 6.864984 5.5744838
## 603 BE24 0.85329053 35 Rarefaction 0 10.030666 8.5351149
## 604 BE24 0.89676414 52 Rarefaction 0 12.141488 10.4907151
## 605 BE24 0.92253699 69 Rarefaction 0 13.673474 11.9225875
## 606 BE24 0.94020765 87 Rarefaction 0 14.906928 13.1049182
## 607 BE24 0.95179681 104 Rarefaction 0 15.825389 14.0089541
## 608 BE24 0.96036233 121 Rarefaction 0 16.572932 14.7555745
## 609 BE24 0.96694561 138 Rarefaction 0 17.191822 15.3613554
## 610 BE24 0.97243795 156 Rarefaction 0 17.738221 15.8493062
## 611 BE24 0.97662723 173 Rarefaction 0 18.172099 16.1417326
## 612 BE24 0.98009597 190 Rarefaction 0 18.540800 16.0610150
## 613 BE24 0.98300766 207 Rarefaction 0 18.855179 15.7796381
## 614 BE24 0.98547700 224 Rarefaction 0 19.123735 15.3737821
## 615 BE24 0.98770162 242 Rarefaction 0 19.365698 14.9137444
## 616 BE24 0.98949886 259 Rarefaction 0 19.560013 14.4823674
## 617 BE24 0.99104790 276 Rarefaction 0 19.725817 14.1230106
## 618 BE24 0.99238278 293 Rarefaction 0 19.867040 13.7656663
## 619 BE24 0.99358974 310 Rarefaction 0 19.989164 13.4225486
## 620 BE24 0.99365099 312 Observed 0 20.000000 13.4104140
## 621 BE24 0.99371165 313 Extrapolation 0 20.006349 13.3933655
## 622 BE24 0.99460702 329 Extrapolation 0 20.100065 13.1351301
## 623 BE24 0.99537491 345 Extrapolation 0 20.180437 12.9090769
## 624 BE24 0.99607135 362 Extrapolation 0 20.253331 12.7006039
## 625 BE24 0.99663074 378 Extrapolation 0 20.311880 12.5308687
## 626 BE24 0.99711047 394 Extrapolation 0 20.362093 12.3838126
## 627 BE24 0.99754558 411 Extrapolation 0 20.407634 12.2495116
## 628 BE24 0.99789505 427 Extrapolation 0 20.444212 12.1410357
## 629 BE24 0.99819477 443 Extrapolation 0 20.475582 12.0475878
## 630 BE24 0.99846660 460 Extrapolation 0 20.504034 11.9625074
## 631 BE24 0.99868493 476 Extrapolation 0 20.526886 11.8939488
## 632 BE24 0.99888296 493 Extrapolation 0 20.547613 11.8315981
## 633 BE24 0.99904201 509 Extrapolation 0 20.564260 11.7814012
## 634 BE24 0.99917841 525 Extrapolation 0 20.578537 11.7382684
## 635 BE24 0.99930213 542 Extrapolation 0 20.591486 11.6990817
## 636 BE24 0.99940149 558 Extrapolation 0 20.601886 11.6675603
## 637 BE24 0.99948671 574 Extrapolation 0 20.610806 11.6404938
## 638 BE24 0.99956400 591 Extrapolation 0 20.618896 11.6159186
## 639 BE24 0.99962608 607 Extrapolation 0 20.625393 11.5961609
## 640 BE24 0.99968239 624 Extrapolation 0 20.631286 11.5782265
## 641 BE25 0.11156453 1 Rarefaction 0 1.000004 0.8824633
## 642 BE25 0.61809147 14 Rarefaction 0 8.523517 7.1051575
## 643 BE25 0.75669055 27 Rarefaction 0 12.536061 10.5749609
## 644 BE25 0.82406428 40 Rarefaction 0 15.249263 12.8937847
## 645 BE25 0.86210389 53 Rarefaction 0 17.287510 14.6354513
## 646 BE25 0.88616946 66 Rarefaction 0 18.925221 16.0421477
## 647 BE25 0.90276711 79 Rarefaction 0 20.299448 17.2283844
## 648 BE25 0.91496256 92 Rarefaction 0 21.486615 18.2544738
## 649 BE25 0.92436761 105 Rarefaction 0 22.533260 19.1549122
## 650 BE25 0.93191280 118 Rarefaction 0 23.469567 19.9501853
## 651 BE25 0.93817443 131 Rarefaction 0 24.315981 20.6522440
## 652 BE25 0.94352879 144 Rarefaction 0 25.086767 21.2664722
## 653 BE25 0.94823277 157 Rarefaction 0 25.792079 21.7891549
## 654 BE25 0.95246863 170 Rarefaction 0 26.439213 22.1784816
## 655 BE25 0.95636962 183 Rarefaction 0 27.033413 22.0729116
## 656 BE25 0.96003419 196 Rarefaction 0 27.578409 21.6081157
## 657 BE25 0.96353391 209 Rarefaction 0 28.076820 20.9366519
## 658 BE25 0.96691767 222 Rarefaction 0 28.530470 20.1042241
## 659 BE25 0.97046414 236 Rarefaction 0 28.967217 19.1118125
## 660 BE25 0.97071234 237 Observed 0 29.000000 19.0436272
## 661 BE25 0.97095845 238 Extrapolation 0 29.029288 18.9721439
## 662 BE25 0.97375538 250 Extrapolation 0 29.362122 18.1423583
## 663 BE25 0.97628294 262 Extrapolation 0 29.662902 17.4023307
## 664 BE25 0.97874718 275 Extrapolation 0 29.956147 16.6380975
## 665 BE25 0.98079400 287 Extrapolation 0 30.199717 15.9861500
## 666 BE25 0.98278953 300 Extrapolation 0 30.437187 15.3257371
## 667 BE25 0.98444704 312 Extrapolation 0 30.634429 14.7618560
## 668 BE25 0.98594491 324 Extrapolation 0 30.812676 14.2394154
## 669 BE25 0.98740526 337 Extrapolation 0 30.986458 13.7181670
## 670 BE25 0.98861823 349 Extrapolation 0 31.130801 13.2814267
## 671 BE25 0.98980081 362 Extrapolation 0 31.271529 12.8485675
## 672 BE25 0.99078308 374 Extrapolation 0 31.388418 12.4852708
## 673 BE25 0.99174073 387 Extrapolation 0 31.502379 12.1280308
## 674 BE25 0.99253616 399 Extrapolation 0 31.597035 11.8292184
## 675 BE25 0.99325499 411 Extrapolation 0 31.682576 11.5576694
## 676 BE25 0.99395581 424 Extrapolation 0 31.765973 11.2916126
## 677 BE25 0.99453791 436 Extrapolation 0 31.835243 11.0696888
## 678 BE25 0.99510543 449 Extrapolation 0 31.902778 10.8525424
## 679 BE25 0.99557682 461 Extrapolation 0 31.958873 10.6716153
## 680 BE25 0.99603639 474 Extrapolation 0 32.013563 10.4947446
## 681 BE26 0.17649032 1 Rarefaction 0 1.000011 0.8999796
## 682 BE26 0.71248632 17 Rarefaction 0 8.294866 7.1907450
## 683 BE26 0.82161090 34 Rarefaction 0 12.173888 10.7180770
## 684 BE26 0.87302787 51 Rarefaction 0 14.750612 13.0779563
## 685 BE26 0.90285857 68 Rarefaction 0 16.650579 14.8209739
## 686 BE26 0.92223509 85 Rarefaction 0 18.136340 16.1653840
## 687 BE26 0.93573896 102 Rarefaction 0 19.343969 17.2189867
## 688 BE26 0.94510913 118 Rarefaction 0 20.298432 18.0010223
## 689 BE26 0.95270880 135 Rarefaction 0 21.167954 18.6519395
## 690 BE26 0.95862308 152 Rarefaction 0 21.922608 19.1552756
## 691 BE26 0.96334193 169 Rarefaction 0 22.586843 19.5415721
## 692 BE26 0.96719787 186 Rarefaction 0 23.178151 19.8214287
## 693 BE26 0.97042646 203 Rarefaction 0 23.709207 20.0197258
## 694 BE26 0.97304684 219 Rarefaction 0 24.162274 20.1659066
## 695 BE26 0.97550935 236 Rarefaction 0 24.600382 20.1973541
## 696 BE26 0.97773520 253 Rarefaction 0 24.998639 20.1262372
## 697 BE26 0.97979580 270 Rarefaction 0 25.360463 19.9953334
## 698 BE26 0.98174177 287 Rarefaction 0 25.688233 19.8178943
## 699 BE26 0.98360656 303 Rarefaction 0 25.973329 19.5908844
## 700 BE26 0.98371370 305 Observed 0 26.000000 19.5876095
## 701 BE26 0.98382015 306 Extrapolation 0 26.016286 19.5742638
## 702 BE26 0.98543170 322 Extrapolation 0 26.262853 19.3609383
## 703 BE26 0.98688273 338 Extrapolation 0 26.484861 19.1674243
## 704 BE26 0.98818924 354 Extrapolation 0 26.684756 18.9875397
## 705 BE26 0.98936561 370 Extrapolation 0 26.864742 18.8180961
## 706 BE26 0.99042482 386 Extrapolation 0 27.026800 18.6694673
## 707 BE26 0.99137853 402 Extrapolation 0 27.172718 18.5285152
## 708 BE26 0.99223724 418 Extrapolation 0 27.304101 18.3965925
## 709 BE26 0.99301043 434 Extrapolation 0 27.422399 18.2741228
## 710 BE26 0.99370660 450 Extrapolation 0 27.528914 18.1611015
## 711 BE26 0.99433344 466 Extrapolation 0 27.624819 18.0571109
## 712 BE26 0.99489784 482 Extrapolation 0 27.711173 17.9617343
## 713 BE26 0.99540602 498 Extrapolation 0 27.788925 17.8745041
## 714 BE26 0.99586359 514 Extrapolation 0 27.858933 17.7949052
## 715 BE26 0.99627559 530 Extrapolation 0 27.921968 17.7224032
## 716 BE26 0.99664655 546 Extrapolation 0 27.978725 17.6564402
## 717 BE26 0.99698056 562 Extrapolation 0 28.029829 17.5965995
## 718 BE26 0.99728130 578 Extrapolation 0 28.075842 17.5423464
## 719 BE26 0.99755209 594 Extrapolation 0 28.117273 17.4932207
## 720 BE26 0.99779591 610 Extrapolation 0 28.154577 17.4487696
## 721 BE27 0.08308635 1 Rarefaction 0 1.000004 0.8951012
## 722 BE27 0.62880853 18 Rarefaction 0 10.875745 9.2085758
## 723 BE27 0.76764436 35 Rarefaction 0 15.893032 13.3732188
## 724 BE27 0.82946971 52 Rarefaction 0 19.289492 15.9983757
## 725 BE27 0.86321009 69 Rarefaction 0 21.893523 17.9236536
## 726 BE27 0.88522295 87 Rarefaction 0 24.154245 19.5551641
## 727 BE27 0.89941483 104 Rarefaction 0 25.985423 20.8544083
## 728 BE27 0.91002167 121 Rarefaction 0 27.606655 21.9716975
## 729 BE27 0.91842870 138 Rarefaction 0 29.066563 22.9052010
## 730 BE27 0.92575202 156 Rarefaction 0 30.470592 23.6592978
## 731 BE27 0.93160818 173 Rarefaction 0 31.684711 24.2026785
## 732 BE27 0.93667686 190 Rarefaction 0 32.805833 24.6695617
## 733 BE27 0.94110356 207 Rarefaction 0 33.846082 25.0394987
## 734 BE27 0.94498420 224 Rarefaction 0 34.815560 25.2972823
## 735 BE27 0.94857320 242 Rarefaction 0 35.774586 25.3947499
## 736 BE27 0.95152591 259 Rarefaction 0 36.624651 25.4400183
## 737 BE27 0.95409683 276 Rarefaction 0 37.427632 25.5079372
## 738 BE27 0.95632134 293 Rarefaction 0 38.189723 25.6201725
## 739 BE27 0.95833333 310 Rarefaction 0 38.917532 25.7565521
## 740 BE27 0.95843614 312 Observed 0 39.000000 25.8104617
## 741 BE27 0.95853869 313 Extrapolation 0 39.041564 25.8202808
## 742 BE27 0.96014551 329 Extrapolation 0 39.692809 25.9907661
## 743 BE27 0.96169006 345 Extrapolation 0 40.318816 26.1424441
## 744 BE27 0.96326561 362 Extrapolation 0 40.957387 26.2838586
## 745 BE27 0.96468925 378 Extrapolation 0 41.534385 26.3996841
## 746 BE27 0.96605771 394 Extrapolation 0 42.089022 26.5036450
## 747 BE27 0.96745363 411 Extrapolation 0 42.654791 26.6000500
## 748 BE27 0.96871496 427 Extrapolation 0 43.166006 26.6804018
## 749 BE27 0.96992740 443 Extrapolation 0 43.657410 26.7514555
## 750 BE27 0.97116418 460 Extrapolation 0 44.158677 26.8138872
## 751 BE27 0.97228171 476 Extrapolation 0 44.611610 26.8743362
## 752 BE27 0.97342166 493 Extrapolation 0 45.073633 26.9263278
## 753 BE27 0.97445170 509 Extrapolation 0 45.491107 26.9695586
## 754 BE27 0.97544182 525 Extrapolation 0 45.892402 27.0074941
## 755 BE27 0.97645181 542 Extrapolation 0 46.301752 27.0422945
## 756 BE27 0.97736441 558 Extrapolation 0 46.671630 27.0705071
## 757 BE27 0.97824165 574 Extrapolation 0 47.027174 27.0949415
## 758 BE27 0.97913649 591 Extrapolation 0 47.389854 27.1174088
## 759 BE27 0.97994505 607 Extrapolation 0 47.717564 27.1356798
## 760 BE27 0.98076984 624 Extrapolation 0 48.051851 27.1524238
## 761 BE28 0.07690575 1 Rarefaction 0 1.000000 0.9420803
## 762 BE28 0.59781719 15 Rarefaction 0 9.699110 8.3108869
## 763 BE28 0.76084622 30 Rarefaction 0 14.392766 12.4893601
## 764 BE28 0.83276122 45 Rarefaction 0 17.418907 15.1405170
## 765 BE28 0.87147042 59 Rarefaction 0 19.488163 16.9071008
## 766 BE28 0.89842546 74 Rarefaction 0 21.213805 18.3511819
## 767 BE28 0.91688642 89 Rarefaction 0 22.600171 19.4894653
## 768 BE28 0.93019342 104 Rarefaction 0 23.748697 20.4119407
## 769 BE28 0.93961588 118 Rarefaction 0 24.662034 21.1284469
## 770 BE28 0.94754955 133 Rarefaction 0 25.509952 21.7785992
## 771 BE28 0.95390878 148 Rarefaction 0 26.250541 22.3288058
## 772 BE28 0.95879774 162 Rarefaction 0 26.863021 22.7512496
## 773 BE28 0.96316970 177 Rarefaction 0 27.449457 23.1111651
## 774 BE28 0.96681914 192 Rarefaction 0 27.975553 23.2407340
## 775 BE28 0.96986874 207 Rarefaction 0 28.451233 23.0791646
## 776 BE28 0.97225314 221 Rarefaction 0 28.857092 22.8268713
## 777 BE28 0.97437953 236 Rarefaction 0 29.257897 22.5262584
## 778 BE28 0.97612038 251 Rarefaction 0 29.629572 22.2504733
## 779 BE28 0.97752809 265 Rarefaction 0 29.963526 22.0235959
## 780 BE28 0.97761225 267 Observed 0 30.000000 22.0243101
## 781 BE28 0.97769610 268 Extrapolation 0 30.022388 22.0149117
## 782 BE28 0.97883755 282 Extrapolation 0 30.327153 21.8447642
## 783 BE28 0.97992058 296 Extrapolation 0 30.616322 21.6709733
## 784 BE28 0.98094818 310 Extrapolation 0 30.890692 21.4970581
## 785 BE28 0.98192319 324 Extrapolation 0 31.151020 21.3250183
## 786 BE28 0.98284831 338 Extrapolation 0 31.398026 21.1553077
## 787 BE28 0.98372608 352 Extrapolation 0 31.632391 20.9891800
## 788 BE28 0.98455893 366 Extrapolation 0 31.854761 20.8276324
## 789 BE28 0.98534915 380 Extrapolation 0 32.065752 20.6713553
## 790 BE28 0.98609894 394 Extrapolation 0 32.265944 20.5200722
## 791 BE28 0.98681035 408 Extrapolation 0 32.455891 20.3739247
## 792 BE28 0.98748536 422 Extrapolation 0 32.636118 20.2330830
## 793 BE28 0.98812582 436 Extrapolation 0 32.807121 20.0976264
## 794 BE28 0.98873350 450 Extrapolation 0 32.969372 19.9668732
## 795 BE28 0.98931008 464 Extrapolation 0 33.123321 19.8428980
## 796 BE28 0.98985716 478 Extrapolation 0 33.269390 19.7235602
## 797 BE28 0.99037624 492 Extrapolation 0 33.407984 19.6094373
## 798 BE28 0.99086875 506 Extrapolation 0 33.539485 19.5003933
## 799 BE28 0.99133606 520 Extrapolation 0 33.664257 19.3962762
## 800 BE28 0.99177946 534 Extrapolation 0 33.782643 19.2969251
## 801 BE29 0.10471721 1 Rarefaction 0 1.000000 0.9062636
## 802 BE29 0.63849125 14 Rarefaction 0 8.453725 7.3888846
## 803 BE29 0.78373281 27 Rarefaction 0 12.155710 10.9787897
## 804 BE29 0.86120259 41 Rarefaction 0 14.623939 13.3243268
## 805 BE29 0.90181055 54 Rarefaction 0 16.162183 14.7469018
## 806 BE29 0.92664943 67 Rarefaction 0 17.277252 15.7476483
## 807 BE29 0.94368648 81 Rarefaction 0 18.184816 16.5363275
## 808 BE29 0.95436775 94 Rarefaction 0 18.848822 17.1015127
## 809 BE29 0.96261576 108 Rarefaction 0 19.431023 17.5939396
## 810 BE29 0.96837592 121 Rarefaction 0 19.880895 17.9645907
## 811 BE29 0.97292530 134 Rarefaction 0 20.263634 17.9784016
## 812 BE29 0.97688041 148 Rarefaction 0 20.616016 17.8444203
## 813 BE29 0.97991798 161 Rarefaction 0 20.897785 17.6735964
## 814 BE29 0.98268381 175 Rarefaction 0 21.160430 17.4566111
## 815 BE29 0.98489608 188 Rarefaction 0 21.371946 17.2561339
## 816 BE29 0.98684432 201 Rarefaction 0 21.556356 17.0501477
## 817 BE29 0.98870945 215 Rarefaction 0 21.728161 16.8300774
## 818 BE29 0.99026362 228 Rarefaction 0 21.865444 16.6272038
## 819 BE29 0.99176955 242 Rarefaction 0 21.988576 16.4090394
## 820 BE29 0.99187033 243 Observed 0 22.000000 16.3980596
## 821 BE29 0.99196988 244 Extrapolation 0 22.008130 16.3834511
## 822 BE29 0.99307350 256 Extrapolation 0 22.098259 16.2157489
## 823 BE29 0.99409861 269 Extrapolation 0 22.181976 16.0545363
## 824 BE29 0.99497200 282 Extrapolation 0 22.253303 15.9133739
## 825 BE29 0.99566303 294 Extrapolation 0 22.309737 15.7993741
## 826 BE29 0.99630489 307 Extrapolation 0 22.362156 15.6917531
## 827 BE29 0.99685176 320 Extrapolation 0 22.406817 15.5988406
## 828 BE29 0.99731769 333 Extrapolation 0 22.444868 15.5188195
## 829 BE29 0.99768634 345 Extrapolation 0 22.474974 15.4549580
## 830 BE29 0.99802876 358 Extrapolation 0 22.502938 15.3952101
## 831 BE29 0.99832050 371 Extrapolation 0 22.526764 15.3439799
## 832 BE29 0.99856906 384 Extrapolation 0 22.547063 15.3000969
## 833 BE29 0.99876572 396 Extrapolation 0 22.563124 15.2652234
## 834 BE29 0.99894839 409 Extrapolation 0 22.578042 15.2327096
## 835 BE29 0.99910403 422 Extrapolation 0 22.590752 15.2049137
## 836 BE29 0.99923663 435 Extrapolation 0 22.601581 15.1811639
## 837 BE29 0.99934154 447 Extrapolation 0 22.610149 15.1623277
## 838 BE29 0.99943899 460 Extrapolation 0 22.618108 15.1447960
## 839 BE29 0.99952202 473 Extrapolation 0 22.624888 15.1298310
## 840 BE29 0.99959276 486 Extrapolation 0 22.630665 15.1170610
## 841 BE3 0.04497226 1 Rarefaction 0 1.000000 0.9768889
## 842 BE3 0.48867636 17 Rarefaction 0 12.399452 11.2747331
## 843 BE3 0.67624361 33 Rarefaction 0 18.989246 17.4321855
## 844 BE3 0.77350764 49 Rarefaction 0 23.367749 21.4659935
## 845 BE3 0.83240496 65 Rarefaction 0 26.515116 24.3015871
## 846 BE3 0.87322655 82 Rarefaction 0 29.013963 26.5201271
## 847 BE3 0.89936903 98 Rarefaction 0 30.833873 28.1030347
## 848 BE3 0.91784320 114 Rarefaction 0 32.297182 29.3330010
## 849 BE3 0.93118731 130 Rarefaction 0 33.506063 30.3003254
## 850 BE3 0.94158892 147 Rarefaction 0 34.588195 31.1076345
## 851 BE3 0.94897040 163 Rarefaction 0 35.464881 31.6948339
## 852 BE3 0.95475163 179 Rarefaction 0 36.236231 32.1244757
## 853 BE3 0.95940849 195 Rarefaction 0 36.924029 32.3720070
## 854 BE3 0.96325862 211 Rarefaction 0 37.543707 32.3758457
## 855 BE3 0.96670337 228 Rarefaction 0 38.139947 32.0032567
## 856 BE3 0.96948973 244 Rarefaction 0 38.651286 31.5465356
## 857 BE3 0.97193655 260 Rarefaction 0 39.120701 31.0890441
## 858 BE3 0.97411467 276 Rarefaction 0 39.553061 30.6600916
## 859 BE3 0.97619048 292 Rarefaction 0 39.958056 30.2303026
## 860 BE3 0.97630600 294 Observed 0 40.000000 30.2265936
## 861 BE3 0.97642096 295 Extrapolation 0 40.023694 30.2040617
## 862 BE3 0.97807997 310 Extrapolation 0 40.365616 29.8658417
## 863 BE3 0.97962226 325 Extrapolation 0 40.683480 29.5305915
## 864 BE3 0.98114794 341 Extrapolation 0 40.997924 29.1888816
## 865 BE3 0.98247436 356 Extrapolation 0 41.271299 28.8781351
## 866 BE3 0.98378651 372 Extrapolation 0 41.541733 28.5629044
## 867 BE3 0.98492728 387 Extrapolation 0 41.776846 28.2817345
## 868 BE3 0.98598779 402 Extrapolation 0 41.995417 28.0147504
## 869 BE3 0.98703689 418 Extrapolation 0 42.211636 27.7457987
## 870 BE3 0.98794897 433 Extrapolation 0 42.399615 27.5083789
## 871 BE3 0.98885123 449 Extrapolation 0 42.585572 27.2704641
## 872 BE3 0.98963565 464 Extrapolation 0 42.747241 27.0613060
## 873 BE3 0.99041163 480 Extrapolation 0 42.907170 26.8524100
## 874 BE3 0.99108626 495 Extrapolation 0 43.046212 26.6692851
## 875 BE3 0.99171343 510 Extrapolation 0 43.175471 26.4978380
## 876 BE3 0.99233385 526 Extrapolation 0 43.303339 26.3271342
## 877 BE3 0.99287323 541 Extrapolation 0 43.414507 26.1778608
## 878 BE3 0.99340682 557 Extrapolation 0 43.524478 26.0294388
## 879 BE3 0.99387071 572 Extrapolation 0 43.620086 25.8998702
## 880 BE3 0.99432961 588 Extrapolation 0 43.714666 25.7712338
## 881 BE30 0.13675934 1 Rarefaction 0 1.000017 0.8745635
## 882 BE30 0.69084723 15 Rarefaction 0 8.070299 6.7304078
## 883 BE30 0.81206004 30 Rarefaction 0 11.723176 9.6594589
## 884 BE30 0.86776595 45 Rarefaction 0 14.106033 11.3673687
## 885 BE30 0.89591355 59 Rarefaction 0 15.756408 12.3553259
## 886 BE30 0.91348925 74 Rarefaction 0 17.183197 13.0838854
## 887 BE30 0.92418871 89 Rarefaction 0 18.399835 13.6678023
## 888 BE30 0.93076970 103 Rarefaction 0 19.415609 14.1479419
## 889 BE30 0.93575362 118 Rarefaction 0 20.417180 14.6248085
## 890 BE30 0.93949814 133 Rarefaction 0 21.353510 15.0872522
## 891 BE30 0.94233593 147 Rarefaction 0 22.181531 15.5139758
## 892 BE30 0.94495353 162 Rarefaction 0 23.027748 15.9635671
## 893 BE30 0.94729956 177 Rarefaction 0 23.836757 16.3945671
## 894 BE30 0.94932979 191 Rarefaction 0 24.561220 16.7649518
## 895 BE30 0.95138528 206 Rarefaction 0 25.306752 17.1263547
## 896 BE30 0.95334522 221 Rarefaction 0 26.022146 17.4510324
## 897 BE30 0.95510129 235 Rarefaction 0 26.663822 17.7121129
## 898 BE30 0.95691039 250 Rarefaction 0 27.324547 17.9332925
## 899 BE30 0.95864662 264 Rarefaction 0 27.935277 18.0932105
## 900 BE30 0.95875980 266 Observed 0 28.000000 18.1269363
## 901 BE30 0.95887267 267 Extrapolation 0 28.041240 18.1327146
## 902 BE30 0.96031218 280 Extrapolation 0 28.567203 18.2330738
## 903 BE30 0.96180613 294 Extrapolation 0 29.113055 18.3113610
## 904 BE30 0.96324385 308 Extrapolation 0 29.638360 18.3643475
## 905 BE30 0.96462744 322 Extrapolation 0 30.143891 18.3840386
## 906 BE30 0.96595896 336 Extrapolation 0 30.630393 18.3785678
## 907 BE30 0.96724035 350 Extrapolation 0 31.098582 18.3531812
## 908 BE30 0.96847351 364 Extrapolation 0 31.549146 18.3082651
## 909 BE30 0.96966024 378 Extrapolation 0 31.982751 18.2472873
## 910 BE30 0.97080231 392 Extrapolation 0 32.400033 18.1733761
## 911 BE30 0.97190138 406 Extrapolation 0 32.801608 18.0896592
## 912 BE30 0.97295909 420 Extrapolation 0 33.188066 17.9986917
## 913 BE30 0.97397698 434 Extrapolation 0 33.559977 17.9025474
## 914 BE30 0.97495655 448 Extrapolation 0 33.917889 17.8031236
## 915 BE30 0.97589925 462 Extrapolation 0 34.262327 17.7018283
## 916 BE30 0.97680646 476 Extrapolation 0 34.593801 17.5997866
## 917 BE30 0.97767953 490 Extrapolation 0 34.912796 17.4979011
## 918 BE30 0.97851973 504 Extrapolation 0 35.219784 17.3963152
## 919 BE30 0.97932830 518 Extrapolation 0 35.515216 17.2958280
## 920 BE30 0.98010643 532 Extrapolation 0 35.799528 17.1977316
## 921 BE4 0.06215005 1 Rarefaction 0 1.000000 0.9532782
## 922 BE4 0.67668576 23 Rarefaction 0 13.387599 11.9518856
## 923 BE4 0.83245343 46 Rarefaction 0 18.785703 16.8899040
## 924 BE4 0.89425700 69 Rarefaction 0 21.872317 19.8091728
## 925 BE4 0.92632697 92 Rarefaction 0 23.916708 21.7519658
## 926 BE4 0.94533766 115 Rarefaction 0 25.384883 23.0550568
## 927 BE4 0.95755552 138 Rarefaction 0 26.498154 23.8839496
## 928 BE4 0.96584106 161 Rarefaction 0 27.377437 24.3400434
## 929 BE4 0.97167392 184 Rarefaction 0 28.095194 24.4773164
## 930 BE4 0.97589497 207 Rarefaction 0 28.697752 24.2719570
## 931 BE4 0.97901707 230 Rarefaction 0 29.216085 23.8189374
## 932 BE4 0.98136906 253 Rarefaction 0 29.671586 23.3376806
## 933 BE4 0.98316847 276 Rarefaction 0 30.079406 22.9096234
## 934 BE4 0.98456145 299 Rarefaction 0 30.450540 22.5620257
## 935 BE4 0.98564665 322 Rarefaction 0 30.793173 22.3657666
## 936 BE4 0.98649055 345 Rarefaction 0 31.113604 22.2231704
## 937 BE4 0.98713778 368 Rarefaction 0 31.416859 22.1600189
## 938 BE4 0.98761825 391 Rarefaction 0 31.707107 22.1746760
## 939 BE4 0.98795181 413 Rarefaction 0 31.977116 22.2524574
## 940 BE4 0.98796344 415 Observed 0 32.000000 22.2685390
## 941 BE4 0.98797506 416 Extrapolation 0 32.012037 22.2738333
## 942 BE4 0.98821647 437 Extrapolation 0 32.262138 22.3860504
## 943 BE4 0.98846418 459 Extrapolation 0 32.518765 22.4984016
## 944 BE4 0.98870668 481 Extrapolation 0 32.769997 22.6068905
## 945 BE4 0.98894408 503 Extrapolation 0 33.015949 22.7118018
## 946 BE4 0.98916604 524 Extrapolation 0 33.245895 22.8088583
## 947 BE4 0.98939379 546 Extrapolation 0 33.481842 22.9075616
## 948 BE4 0.98961675 568 Extrapolation 0 33.712829 23.0034900
## 949 BE4 0.98983502 590 Extrapolation 0 33.938960 23.0969204
## 950 BE4 0.99004871 612 Extrapolation 0 34.160338 23.1881387
## 951 BE4 0.99024849 633 Extrapolation 0 34.367310 23.2733885
## 952 BE4 0.99045348 655 Extrapolation 0 34.579683 23.3608495
## 953 BE4 0.99065416 677 Extrapolation 0 34.787592 23.4458290
## 954 BE4 0.99085063 699 Extrapolation 0 34.991130 23.5283463
## 955 BE4 0.99104296 721 Extrapolation 0 35.190389 23.6085369
## 956 BE4 0.99122278 742 Extrapolation 0 35.376682 23.6830345
## 957 BE4 0.99140729 764 Extrapolation 0 35.567836 23.7590534
## 958 BE4 0.99158793 786 Extrapolation 0 35.754972 23.8331205
## 959 BE4 0.99176476 808 Extrapolation 0 35.938174 23.9053538
## 960 BE4 0.99193788 830 Extrapolation 0 36.117525 23.9758763
## 961 BE5 0.35176229 1 Rarefaction 0 1.000010 0.8469394
## 962 BE5 0.70561256 11 Rarefaction 0 4.931668 3.3862818
## 963 BE5 0.78940782 22 Rarefaction 0 7.721932 6.1594396
## 964 BE5 0.84680118 33 Rarefaction 0 9.731950 8.0594240
## 965 BE5 0.88639406 44 Rarefaction 0 11.206001 9.3961275
## 966 BE5 0.91396158 55 Rarefaction 0 12.308908 10.3593796
## 967 BE5 0.93336106 66 Rarefaction 0 13.152247 11.0614851
## 968 BE5 0.94715820 77 Rarefaction 0 13.812090 11.5741564
## 969 BE5 0.95706396 88 Rarefaction 0 14.340881 11.9408112
## 970 BE5 0.96423172 99 Rarefaction 0 14.775257 12.1679937
## 971 BE5 0.96945379 110 Rarefaction 0 15.141114 12.0662201
## 972 BE5 0.97328841 121 Rarefaction 0 15.456892 11.5140205
## 973 BE5 0.97613936 132 Rarefaction 0 15.735721 11.1702961
## 974 BE5 0.97830520 143 Rarefaction 0 15.986848 10.9252988
## 975 BE5 0.98000924 154 Rarefaction 0 16.216635 10.7627231
## 976 BE5 0.98141829 165 Rarefaction 0 16.429282 10.6386075
## 977 BE5 0.98265471 176 Rarefaction 0 16.627386 10.5406592
## 978 BE5 0.98380479 187 Rarefaction 0 16.812386 10.4502421
## 979 BE5 0.98492462 197 Rarefaction 0 16.974141 10.3465868
## 980 BE5 0.98502546 199 Observed 0 17.000000 10.3488716
## 981 BE5 0.98512563 200 Extrapolation 0 17.014975 10.3401456
## 982 BE5 0.98609115 210 Extrapolation 0 17.159320 10.2521452
## 983 BE5 0.98699399 220 Extrapolation 0 17.294296 10.1690023
## 984 BE5 0.98791959 231 Extrapolation 0 17.432672 10.0836136
## 985 BE5 0.98870375 241 Extrapolation 0 17.549904 10.0120864
## 986 BE5 0.98950766 252 Extrapolation 0 17.670089 9.9415719
## 987 BE5 0.99018874 262 Extrapolation 0 17.771910 9.8926004
## 988 BE5 0.99082560 272 Extrapolation 0 17.867121 9.8296084
## 989 BE5 0.99147851 283 Extrapolation 0 17.964731 9.7638170
## 990 BE5 0.99203166 293 Extrapolation 0 18.047426 9.7071119
## 991 BE5 0.99259874 304 Extrapolation 0 18.132205 9.6480424
## 992 BE5 0.99307917 314 Extrapolation 0 18.204029 9.5972490
## 993 BE5 0.99357170 325 Extrapolation 0 18.277662 9.5444544
## 994 BE5 0.99398897 335 Extrapolation 0 18.340044 9.4991542
## 995 BE5 0.99437916 345 Extrapolation 0 18.398377 9.4563313
## 996 BE5 0.99477917 356 Extrapolation 0 18.458180 9.4119483
## 997 BE5 0.99511806 366 Extrapolation 0 18.508844 9.3735154
## 998 BE5 0.99546549 377 Extrapolation 0 18.560785 9.3351350
## 999 BE5 0.99575984 387 Extrapolation 0 18.604789 9.3018993
## 1000 BE5 0.99606159 398 Extrapolation 0 18.649902 9.2676593
## 1001 BE6 0.16285967 1 Rarefaction 0 1.000012 0.8146293
## 1002 BE6 0.62516067 12 Rarefaction 0 6.975708 5.4194834
## 1003 BE6 0.74446801 23 Rarefaction 0 10.431181 8.3523929
## 1004 BE6 0.81486411 35 Rarefaction 0 13.070097 10.4285012
## 1005 BE6 0.85340244 46 Rarefaction 0 14.898257 11.7199339
## 1006 BE6 0.88068502 58 Rarefaction 0 16.496120 12.7435933
## 1007 BE6 0.89790083 69 Rarefaction 0 17.717361 13.4493662
## 1008 BE6 0.91153340 81 Rarefaction 0 18.863366 14.0329745
## 1009 BE6 0.92098748 92 Rarefaction 0 19.787110 14.4393648
## 1010 BE6 0.92910660 104 Rarefaction 0 20.688741 14.7813076
## 1011 BE6 0.93515474 115 Rarefaction 0 21.437317 15.0288439
## 1012 BE6 0.94024272 126 Rarefaction 0 22.124425 15.2230618
## 1013 BE6 0.94496635 138 Rarefaction 0 22.814778 15.3533606
## 1014 BE6 0.94869527 149 Rarefaction 0 23.401035 15.4076267
## 1015 BE6 0.95221972 161 Rarefaction 0 23.996785 15.4469385
## 1016 BE6 0.95501692 172 Rarefaction 0 24.508026 15.4888879
## 1017 BE6 0.95764300 184 Rarefaction 0 25.032957 15.5525000
## 1018 BE6 0.95968731 195 Rarefaction 0 25.488356 15.6361326
## 1019 BE6 0.96153846 207 Rarefaction 0 25.960598 15.7648204
## 1020 BE6 0.96167731 208 Observed 0 26.000000 15.7783609
## 1021 BE6 0.96181566 209 Extrapolation 0 26.038323 15.7914529
## 1022 BE6 0.96317198 219 Extrapolation 0 26.414022 15.9139358
## 1023 BE6 0.96460835 230 Extrapolation 0 26.811897 16.0447176
## 1024 BE6 0.96598870 241 Extrapolation 0 27.194253 16.1760791
## 1025 BE6 0.96731521 252 Extrapolation 0 27.561697 16.3138820
## 1026 BE6 0.96858998 263 Extrapolation 0 27.914810 16.4428116
## 1027 BE6 0.96981504 274 Extrapolation 0 28.254150 16.5641558
## 1028 BE6 0.97099232 285 Extrapolation 0 28.580256 16.6819193
## 1029 BE6 0.97212368 296 Extrapolation 0 28.893643 16.7970653
## 1030 BE6 0.97321091 307 Extrapolation 0 29.194807 16.9013013
## 1031 BE6 0.97416246 317 Extrapolation 0 29.458387 16.9875442
## 1032 BE6 0.97517018 328 Extrapolation 0 29.737525 17.0739441
## 1033 BE6 0.97613860 339 Extrapolation 0 30.005776 17.1448265
## 1034 BE6 0.97706924 350 Extrapolation 0 30.263565 17.2230204
## 1035 BE6 0.97796359 361 Extrapolation 0 30.511299 17.2869452
## 1036 BE6 0.97882306 372 Extrapolation 0 30.749371 17.3447497
## 1037 BE6 0.97964900 383 Extrapolation 0 30.978158 17.3970651
## 1038 BE6 0.98044273 394 Extrapolation 0 31.198021 17.4444496
## 1039 BE6 0.98120551 405 Extrapolation 0 31.409310 17.4874402
## 1040 BE6 0.98193853 416 Extrapolation 0 31.612358 17.5265155
## 1041 BE7 0.28952439 1 Rarefaction 0 1.000012 0.9269682
## 1042 BE7 0.83973677 30 Rarefaction 0 9.448939 8.2141711
## 1043 BE7 0.90966916 60 Rarefaction 0 13.036943 11.2198657
## 1044 BE7 0.93536280 90 Rarefaction 0 15.324703 12.9418007
## 1045 BE7 0.94870255 120 Rarefaction 0 17.052653 14.1818594
## 1046 BE7 0.95704294 150 Rarefaction 0 18.462130 15.1872937
## 1047 BE7 0.96277406 180 Rarefaction 0 19.662845 16.0505547
## 1048 BE7 0.96693917 210 Rarefaction 0 20.716161 16.8189131
## 1049 BE7 0.97010412 240 Rarefaction 0 21.660100 17.5190890
## 1050 BE7 0.97261278 270 Rarefaction 0 22.519277 18.1655366
## 1051 BE7 0.97461947 299 Rarefaction 0 23.284602 18.7461744
## 1052 BE7 0.97639921 329 Rarefaction 0 24.019588 19.3033750
## 1053 BE7 0.97796738 359 Rarefaction 0 24.704430 19.8138947
## 1054 BE7 0.97938288 389 Rarefaction 0 25.344558 20.2667274
## 1055 BE7 0.98068457 419 Rarefaction 0 25.943951 20.6295471
## 1056 BE7 0.98189892 449 Rarefaction 0 26.505614 20.8258460
## 1057 BE7 0.98304485 479 Rarefaction 0 27.031879 20.8795347
## 1058 BE7 0.98413657 509 Rarefaction 0 27.524583 20.8077967
## 1059 BE7 0.98518519 539 Rarefaction 0 27.984049 20.6760608
## 1060 BE7 0.98521946 540 Observed 0 28.000000 20.6709022
## 1061 BE7 0.98525366 541 Extrapolation 0 28.014781 20.6657284
## 1062 BE7 0.98617975 569 Extrapolation 0 28.415036 20.5165566
## 1063 BE7 0.98704768 597 Extrapolation 0 28.790155 20.3709368
## 1064 BE7 0.98788919 626 Extrapolation 0 29.153854 20.2209221
## 1065 BE7 0.98864976 654 Extrapolation 0 29.482575 20.0650839
## 1066 BE7 0.98936257 682 Extrapolation 0 29.790651 19.9103691
## 1067 BE7 0.99005368 711 Extrapolation 0 30.089348 19.7380888
## 1068 BE7 0.99067832 739 Extrapolation 0 30.359318 19.5641068
## 1069 BE7 0.99126373 767 Extrapolation 0 30.612334 19.3868048
## 1070 BE7 0.99183133 796 Extrapolation 0 30.857647 19.2027857
## 1071 BE7 0.99234433 824 Extrapolation 0 31.079367 19.0273022
## 1072 BE7 0.99284172 853 Extrapolation 0 31.294337 18.8498629
## 1073 BE7 0.99329126 881 Extrapolation 0 31.488633 18.6845107
## 1074 BE7 0.99371258 909 Extrapolation 0 31.670726 18.5262750
## 1075 BE7 0.99412107 938 Extrapolation 0 31.847276 18.3711179
## 1076 BE7 0.99449028 966 Extrapolation 0 32.006846 18.2308725
## 1077 BE7 0.99483629 994 Extrapolation 0 32.156394 18.0978543
## 1078 BE7 0.99517178 1023 Extrapolation 0 32.301391 17.9661550
## 1079 BE7 0.99547500 1051 Extrapolation 0 32.432442 17.8449188
## 1080 BE7 0.99576898 1080 Extrapolation 0 32.559503 17.7254647
## 1081 BE8 0.13857829 1 Rarefaction 0 1.000001 0.8595628
## 1082 BE8 0.60221071 13 Rarefaction 0 7.833930 6.6681922
## 1083 BE8 0.73498327 25 Rarefaction 0 11.798526 10.4779455
## 1084 BE8 0.81267269 37 Rarefaction 0 14.514180 13.0895507
## 1085 BE8 0.86197643 49 Rarefaction 0 16.470223 14.9651763
## 1086 BE8 0.89495371 61 Rarefaction 0 17.932719 16.3432264
## 1087 BE8 0.91789047 73 Rarefaction 0 19.059252 17.3650185
## 1088 BE8 0.93433021 85 Rarefaction 0 19.948933 18.1248657
## 1089 BE8 0.94640008 97 Rarefaction 0 20.667020 18.6934633
## 1090 BE8 0.95544358 109 Rarefaction 0 21.257979 19.1225253
## 1091 BE8 0.96234670 121 Rarefaction 0 21.752903 19.4395826
## 1092 BE8 0.96771483 133 Rarefaction 0 22.173932 19.6389839
## 1093 BE8 0.97197212 145 Rarefaction 0 22.537003 19.7375099
## 1094 BE8 0.97541998 157 Rarefaction 0 22.853691 19.8010222
## 1095 BE8 0.97827310 169 Rarefaction 0 23.132453 19.7983919
## 1096 BE8 0.98068353 181 Rarefaction 0 23.379539 19.7456574
## 1097 BE8 0.98275793 193 Rarefaction 0 23.599635 19.6694418
## 1098 BE8 0.98457089 205 Rarefaction 0 23.796339 19.5883755
## 1099 BE8 0.98630137 218 Rarefaction 0 23.982210 19.5042812
## 1100 BE8 0.98642590 219 Observed 0 24.000000 19.5059024
## 1101 BE8 0.98654930 220 Extrapolation 0 24.013574 19.5005319
## 1102 BE8 0.98783487 231 Extrapolation 0 24.154987 19.4411955
## 1103 BE8 0.98899757 242 Extrapolation 0 24.282883 19.3797967
## 1104 BE8 0.99013960 254 Extrapolation 0 24.408507 19.3154697
## 1105 BE8 0.99108202 265 Extrapolation 0 24.512173 19.2703000
## 1106 BE8 0.99200769 277 Extrapolation 0 24.613997 19.2103841
## 1107 BE8 0.99277157 288 Extrapolation 0 24.698023 19.1572662
## 1108 BE8 0.99352187 300 Extrapolation 0 24.780556 19.1020527
## 1109 BE8 0.99414102 311 Extrapolation 0 24.848663 19.0543247
## 1110 BE8 0.99474918 323 Extrapolation 0 24.915560 19.0056214
## 1111 BE8 0.99525103 334 Extrapolation 0 24.970764 18.9640808
## 1112 BE8 0.99574397 346 Extrapolation 0 25.024987 18.9222603
## 1113 BE8 0.99615074 357 Extrapolation 0 25.069732 18.8870132
## 1114 BE8 0.99655029 369 Extrapolation 0 25.113682 18.8517902
## 1115 BE8 0.99688000 380 Extrapolation 0 25.149951 18.8222881
## 1116 BE8 0.99720385 392 Extrapolation 0 25.185574 18.7929350
## 1117 BE8 0.99747110 403 Extrapolation 0 25.214971 18.7684402
## 1118 BE8 0.99773359 415 Extrapolation 0 25.243846 18.7441449
## 1119 BE8 0.99795021 426 Extrapolation 0 25.267673 18.7239234
## 1120 BE8 0.99816297 438 Extrapolation 0 25.291078 18.7039100
## 1121 BE9 0.06994467 1 Rarefaction 0 1.000000 0.9488156
## 1122 BE9 0.61280390 18 Rarefaction 0 11.347823 10.2529429
## 1123 BE9 0.77559174 35 Rarefaction 0 16.420867 14.7652299
## 1124 BE9 0.84858099 52 Rarefaction 0 19.580956 17.3323295
## 1125 BE9 0.88763739 69 Rarefaction 0 21.812286 18.9531980
## 1126 BE9 0.91132824 86 Rarefaction 0 23.518079 20.0056762
## 1127 BE9 0.92712485 103 Rarefaction 0 24.890987 20.6813559
## 1128 BE9 0.93838890 120 Rarefaction 0 26.034800 21.0709966
## 1129 BE9 0.94677883 137 Rarefaction 0 27.011773 21.2111385
## 1130 BE9 0.95352031 155 Rarefaction 0 27.909686 21.1663269
## 1131 BE9 0.95842169 172 Rarefaction 0 28.658911 20.9540001
## 1132 BE9 0.96225640 189 Rarefaction 0 29.333756 20.6507595
## 1133 BE9 0.96527460 206 Rarefaction 0 29.950244 20.3440656
## 1134 BE9 0.96766469 223 Rarefaction 0 30.520681 20.0479685
## 1135 BE9 0.96957087 240 Rarefaction 0 31.054533 19.8292897
## 1136 BE9 0.97110286 257 Rarefaction 0 31.559108 19.7056012
## 1137 BE9 0.97234201 274 Rarefaction 0 32.040079 19.6564634
## 1138 BE9 0.97334585 291 Rarefaction 0 32.501934 19.6729735
## 1139 BE9 0.97419355 309 Rarefaction 0 32.970210 19.7596223
## 1140 BE9 0.97423524 310 Observed 0 33.000000 19.7707198
## 1141 BE9 0.97427686 311 Extrapolation 0 33.025765 19.7778237
## 1142 BE9 0.97493376 327 Extrapolation 0 33.432386 19.8864154
## 1143 BE9 0.97557389 343 Extrapolation 0 33.828623 19.9878169
## 1144 BE9 0.97619766 359 Extrapolation 0 34.214741 20.0845897
## 1145 BE9 0.97684298 376 Extrapolation 0 34.614193 20.1831946
## 1146 BE9 0.97743435 392 Extrapolation 0 34.980249 20.2660828
## 1147 BE9 0.97801062 408 Extrapolation 0 35.336958 20.3495747
## 1148 BE9 0.97857217 424 Extrapolation 0 35.684557 20.4222841
## 1149 BE9 0.97915311 441 Extrapolation 0 36.044160 20.4933055
## 1150 BE9 0.97968548 457 Extrapolation 0 36.373700 20.5554125
## 1151 BE9 0.98020426 473 Extrapolation 0 36.694823 20.6143411
## 1152 BE9 0.98070979 489 Extrapolation 0 37.007746 20.6719575
## 1153 BE9 0.98123278 506 Extrapolation 0 37.331476 20.7337388
## 1154 BE9 0.98171204 522 Extrapolation 0 37.628140 20.7864654
## 1155 BE9 0.98217907 538 Extrapolation 0 37.917229 20.8357556
## 1156 BE9 0.98263416 554 Extrapolation 0 38.198935 20.8824453
## 1157 BE9 0.98310498 571 Extrapolation 0 38.490369 20.9302063
## 1158 BE9 0.98353643 587 Extrapolation 0 38.757439 20.9740625
## 1159 BE9 0.98395687 603 Extrapolation 0 39.017688 21.0132256
## 1160 BE9 0.98439182 620 Extrapolation 0 39.286925 21.0574675
## qD.UCL
## 1 1.121356
## 2 6.144064
## 3 8.506870
## 4 9.956988
## 5 11.116428
## 6 12.067937
## 7 12.854478
## 8 13.625844
## 9 14.295171
## 10 15.004435
## 11 15.730079
## 12 16.377132
## 13 17.035642
## 14 17.619521
## 15 18.216783
## 16 18.798617
## 17 19.335616
## 18 19.887518
## 19 20.401076
## 20 20.447503
## 21 20.483972
## 22 20.936655
## 23 21.394393
## 24 21.815578
## 25 22.186512
## 26 22.553347
## 27 22.896582
## 28 23.218579
## 29 23.520915
## 30 23.804322
## 31 24.050499
## 32 24.298009
## 33 24.528235
## 34 24.742176
## 35 24.940807
## 36 25.125072
## 37 25.295872
## 38 25.454048
## 39 25.600400
## 40 25.735954
## 41 1.154492
## 42 13.560378
## 43 19.043496
## 44 22.597193
## 45 25.021328
## 46 26.925600
## 47 28.576487
## 48 29.943915
## 49 31.211363
## 50 32.310576
## 51 33.323518
## 52 34.330375
## 53 35.438213
## 54 36.563552
## 55 37.541120
## 56 38.409580
## 57 39.228908
## 58 39.942682
## 59 40.620995
## 60 40.658691
## 61 40.686247
## 62 41.291274
## 63 41.885877
## 64 42.468330
## 65 43.037193
## 66 43.615946
## 67 44.153960
## 68 44.677549
## 69 45.186606
## 70 45.681083
## 71 46.182366
## 72 46.646463
## 73 47.094553
## 74 47.529269
## 75 47.951296
## 76 48.379054
## 77 48.775466
## 78 49.159522
## 79 49.531271
## 80 49.906650
## 81 1.100558
## 82 8.422897
## 83 12.242488
## 84 14.511357
## 85 16.325899
## 86 17.621727
## 87 18.756064
## 88 19.601821
## 89 20.357826
## 90 20.924906
## 91 21.429865
## 92 21.811885
## 93 22.189523
## 94 22.580576
## 95 23.131310
## 96 23.602534
## 97 24.086108
## 98 24.492745
## 99 24.894933
## 100 24.927288
## 101 24.959735
## 102 25.266012
## 103 25.562117
## 104 25.819189
## 105 26.041340
## 106 26.232779
## 107 26.397505
## 108 26.539037
## 109 26.660508
## 110 26.764673
## 111 26.853937
## 112 26.930392
## 113 26.995846
## 114 27.051865
## 115 27.099791
## 116 27.140787
## 117 27.175845
## 118 27.205822
## 119 27.231450
## 120 27.253358
## 121 1.056465
## 122 14.032291
## 123 20.544634
## 124 24.982611
## 125 28.117887
## 126 30.677814
## 127 32.987358
## 128 34.921944
## 129 36.775456
## 130 38.401985
## 131 39.936494
## 132 41.486215
## 133 42.920379
## 134 44.451230
## 135 45.881846
## 136 47.267021
## 137 48.699031
## 138 50.016760
## 139 51.482855
## 140 51.578824
## 141 51.661723
## 142 53.069376
## 143 54.499775
## 144 56.002734
## 145 57.392021
## 146 58.817890
## 147 60.115201
## 148 61.431047
## 149 62.622569
## 150 63.829447
## 151 64.917272
## 152 66.014545
## 153 67.000698
## 154 67.993445
## 155 68.884068
## 156 69.779083
## 157 70.580889
## 158 71.385867
## 159 72.106409
## 160 72.829234
## 161 1.089519
## 162 14.930075
## 163 22.310536
## 164 27.194545
## 165 30.684928
## 166 33.659184
## 167 36.190362
## 168 38.326435
## 169 40.367798
## 170 42.235755
## 171 43.874664
## 172 45.480742
## 173 46.987019
## 174 48.345480
## 175 49.725026
## 176 51.092858
## 177 52.412627
## 178 53.809839
## 179 55.170889
## 180 55.265341
## 181 55.334235
## 182 56.555006
## 183 57.797549
## 184 58.987275
## 185 60.069428
## 186 61.157541
## 187 62.214776
## 188 63.188113
## 189 64.179773
## 190 65.131683
## 191 66.001683
## 192 66.885759
## 193 67.733832
## 194 68.504183
## 195 69.282877
## 196 70.027647
## 197 70.702454
## 198 71.383202
## 199 72.032305
## 200 72.650870
## 201 1.023340
## 202 8.987878
## 203 15.563006
## 204 20.096919
## 205 24.203903
## 206 27.563176
## 207 30.084959
## 208 32.529121
## 209 34.439241
## 210 36.378254
## 211 38.176974
## 212 39.736395
## 213 41.619345
## 214 43.524897
## 215 45.905965
## 216 48.278850
## 217 50.263424
## 218 52.313346
## 219 54.240810
## 220 54.480653
## 221 54.698279
## 222 56.409605
## 223 58.086181
## 224 59.708019
## 225 61.266704
## 226 62.937994
## 227 64.357771
## 228 65.715367
## 229 67.013976
## 230 68.253946
## 231 69.580845
## 232 70.704677
## 233 71.768104
## 234 72.782674
## 235 73.749012
## 236 74.774294
## 237 75.638436
## 238 76.458588
## 239 77.236745
## 240 78.064407
## 241 1.098878
## 242 11.092473
## 243 15.596553
## 244 18.438709
## 245 20.403696
## 246 21.921379
## 247 23.038696
## 248 23.947649
## 249 24.721978
## 250 25.457789
## 251 26.115300
## 252 26.760400
## 253 27.383335
## 254 27.973432
## 255 28.594464
## 256 29.129645
## 257 29.621879
## 258 30.077157
## 259 30.510254
## 260 30.536193
## 261 30.557776
## 262 30.928900
## 263 31.272088
## 264 31.585471
## 265 31.871338
## 266 32.138117
## 267 32.382137
## 268 32.604768
## 269 32.818098
## 270 33.001011
## 271 33.165939
## 272 33.314990
## 273 33.461522
## 274 33.586944
## 275 33.700511
## 276 33.803292
## 277 33.901170
## 278 33.984696
## 279 34.060287
## 280 34.132203
## 281 1.040981
## 282 10.408673
## 283 16.492461
## 284 20.250540
## 285 23.234453
## 286 25.314319
## 287 27.091891
## 288 28.393147
## 289 29.546363
## 290 30.412870
## 291 31.191630
## 292 31.782737
## 293 32.331631
## 294 33.016971
## 295 34.116521
## 296 35.198436
## 297 36.315489
## 298 37.213151
## 299 38.047220
## 300 38.110155
## 301 38.167789
## 302 38.601224
## 303 38.869355
## 304 39.014850
## 305 39.093586
## 306 39.136134
## 307 39.159110
## 308 39.171515
## 309 39.178210
## 310 39.181822
## 311 39.183772
## 312 39.184824
## 313 39.185391
## 314 39.185697
## 315 39.185863
## 316 39.185952
## 317 39.186000
## 318 39.186026
## 319 39.186040
## 320 39.186047
## 321 1.115456
## 322 14.046526
## 323 21.115034
## 324 26.445385
## 325 30.455767
## 326 33.998311
## 327 36.960761
## 328 39.774372
## 329 42.254443
## 330 44.745089
## 331 47.143406
## 332 49.726161
## 333 52.559341
## 334 55.042122
## 335 57.362872
## 336 59.327248
## 337 61.176209
## 338 62.779941
## 339 64.293176
## 340 64.403609
## 341 64.475046
## 342 65.805049
## 343 67.095625
## 344 68.410887
## 345 69.624262
## 346 70.856716
## 347 71.993834
## 348 73.096611
## 349 74.223882
## 350 75.263329
## 351 76.325237
## 352 77.304001
## 353 78.303172
## 354 79.223312
## 355 80.115695
## 356 81.026073
## 357 81.864687
## 358 82.720317
## 359 83.507997
## 360 84.312015
## 361 1.128597
## 362 13.740921
## 363 20.259551
## 364 24.704162
## 365 27.969423
## 366 30.464959
## 367 32.430370
## 368 34.025257
## 369 35.351652
## 370 36.468501
## 371 37.412788
## 372 38.214284
## 373 38.904841
## 374 39.553211
## 375 40.510269
## 376 41.500357
## 377 42.374644
## 378 43.095870
## 379 43.660701
## 380 43.693593
## 381 43.718747
## 382 44.153742
## 383 44.563065
## 384 44.946330
## 385 45.303866
## 386 45.637999
## 387 45.950078
## 388 46.241166
## 389 46.512376
## 390 46.764822
## 391 47.012052
## 392 47.229171
## 393 47.430745
## 394 47.617800
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## 399 48.367655
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## 841 1.023111
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## 844 25.269504
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## 847 33.564711
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## 879 61.340303
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## 881 1.125470
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## 884 16.844698
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## 900 37.873064
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## 907 43.843982
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## 911 47.513556
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## 921 1.046722
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## 936 40.004038
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## 953 46.129355
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## 955 46.772241
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## 959 47.970994
## 960 48.259173
## 961 1.153081
## 962 6.477054
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## 964 11.404476
## 965 13.015874
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## 967 15.243009
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## 978 23.174531
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## 980 23.651128
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## 984 24.781730
## 985 25.087721
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## 989 26.165646
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## 991 26.616367
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## 995 27.340423
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## 997 27.644173
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## 999 27.907679
## 1000 28.032145
## 1001 1.185395
## 1002 8.531932
## 1003 12.509968
## 1004 15.711692
## 1005 18.076580
## 1006 20.248646
## 1007 21.985355
## 1008 23.693758
## 1009 25.134856
## 1010 26.596175
## 1011 27.845791
## 1012 29.025788
## 1013 30.276196
## 1014 31.394444
## 1015 32.546632
## 1016 33.527165
## 1017 34.513414
## 1018 35.340580
## 1019 36.156375
## 1020 36.221639
## 1021 36.285192
## 1022 36.914109
## 1023 37.579076
## 1024 38.212427
## 1025 38.809512
## 1026 39.386808
## 1027 39.944145
## 1028 40.478593
## 1029 40.990220
## 1030 41.488312
## 1031 41.929230
## 1032 42.401106
## 1033 42.866726
## 1034 43.304109
## 1035 43.735653
## 1036 44.153992
## 1037 44.559251
## 1038 44.951593
## 1039 45.331180
## 1040 45.698200
## 1041 1.073055
## 1042 10.683707
## 1043 14.854020
## 1044 17.707606
## 1045 19.923446
## 1046 21.736966
## 1047 23.275135
## 1048 24.613409
## 1049 25.801111
## 1050 26.873017
## 1051 27.823029
## 1052 28.735800
## 1053 29.594964
## 1054 30.422388
## 1055 31.258354
## 1056 32.185382
## 1057 33.184223
## 1058 34.241370
## 1059 35.292038
## 1060 35.329098
## 1061 35.363833
## 1062 36.313515
## 1063 37.209373
## 1064 38.086787
## 1065 38.900065
## 1066 39.670932
## 1067 40.440608
## 1068 41.154530
## 1069 41.837863
## 1070 42.512509
## 1071 43.131432
## 1072 43.738812
## 1073 44.292754
## 1074 44.815176
## 1075 45.323434
## 1076 45.782819
## 1077 46.214935
## 1078 46.636626
## 1079 47.019964
## 1080 47.393542
## 1081 1.140439
## 1082 8.999668
## 1083 13.119106
## 1084 15.938808
## 1085 17.975269
## 1086 19.522211
## 1087 20.753486
## 1088 21.773001
## 1089 22.640577
## 1090 23.393432
## 1091 24.066224
## 1092 24.708879
## 1093 25.336496
## 1094 25.906360
## 1095 26.466515
## 1096 27.013420
## 1097 27.529829
## 1098 28.004303
## 1099 28.460138
## 1100 28.494098
## 1101 28.526616
## 1102 28.868778
## 1103 29.185970
## 1104 29.501544
## 1105 29.754046
## 1106 30.017610
## 1107 30.238780
## 1108 30.459060
## 1109 30.643002
## 1110 30.825499
## 1111 30.977447
## 1112 31.127713
## 1113 31.252451
## 1114 31.375575
## 1115 31.477613
## 1116 31.578213
## 1117 31.661502
## 1118 31.743547
## 1119 31.811423
## 1120 31.878245
## 1121 1.051184
## 1122 12.442703
## 1123 18.076504
## 1124 21.829583
## 1125 24.671373
## 1126 27.030481
## 1127 29.100619
## 1128 30.998603
## 1129 32.812408
## 1130 34.653046
## 1131 36.363823
## 1132 38.016752
## 1133 39.556422
## 1134 40.993393
## 1135 42.279776
## 1136 43.412614
## 1137 44.423695
## 1138 45.330894
## 1139 46.180798
## 1140 46.229280
## 1141 46.273706
## 1142 46.978356
## 1143 47.669428
## 1144 48.344891
## 1145 49.045191
## 1146 49.694416
## 1147 50.324341
## 1148 50.946831
## 1149 51.595015
## 1150 52.191987
## 1151 52.775305
## 1152 53.343535
## 1153 53.929213
## 1154 54.469815
## 1155 54.998702
## 1156 55.515425
## 1157 56.050532
## 1158 56.540816
## 1159 57.022151
## 1160 57.516383# show asymptotic estimates
birds_inext$AsyEst## Assemblage Diversity Observed Estimator s.e. LCL
## 1 BE10 Species richness 15.000000 17.656604 5.0965926 15.000000
## 2 BE10 Shannon diversity 4.477834 4.637426 0.3703539 3.911546
## 3 BE10 Simpson diversity 2.522903 2.537541 0.2099865 2.125975
## 4 BE11 Species richness 32.000000 40.978723 10.9456903 32.000000
## 5 BE11 Shannon diversity 15.106089 15.873309 1.1321513 13.654333
## 6 BE11 Simpson diversity 8.586257 8.743437 1.0000788 6.783318
## 7 BE12 Species richness 21.000000 21.663477 3.6242919 21.000000
## 8 BE12 Shannon diversity 12.056420 12.708104 0.8672522 11.008321
## 9 BE12 Simpson diversity 8.084583 8.369657 0.8285440 6.745741
## 10 BE13 Species richness 42.000000 54.035178 11.9328953 42.000000
## 11 BE13 Shannon diversity 23.597320 25.773235 1.5909033 22.655122
## 12 BE13 Simpson diversity 17.905539 18.866212 1.3406508 16.238584
## 13 BE14 Species richness 46.000000 59.960674 12.9789630 46.000000
## 14 BE14 Shannon diversity 24.539775 26.883599 1.5929810 23.761413
## 15 BE14 Simpson diversity 16.693361 17.465451 1.4675458 14.589114
## 16 BE15 Species richness 41.000000 52.994540 9.4081329 41.000000
## 17 BE15 Shannon diversity 29.495851 35.477035 2.5618146 30.455970
## 18 BE15 Simpson diversity 23.275732 27.152993 2.0901834 23.056309
## 19 BE16 Species richness 25.000000 26.495690 4.3007068 25.000000
## 20 BE16 Shannon diversity 12.284503 12.775183 0.7784021 11.249543
## 21 BE16 Simpson diversity 7.426959 7.567114 0.7108710 6.173832
## 22 BE17 Species richness 31.000000 31.082935 5.0094682 31.000000
## 23 BE17 Shannon diversity 22.478066 24.240311 1.1655589 21.955858
## 24 BE17 Simpson diversity 17.691778 19.235398 1.4454356 16.402396
## 25 BE18 Species richness 47.000000 72.530811 19.0260611 47.000000
## 26 BE18 Shannon diversity 19.613692 21.717714 1.5634466 18.653415
## 27 BE18 Simpson diversity 10.576329 10.858120 0.9939219 8.910069
## 28 BE19 Species richness 37.000000 39.658937 5.8308866 37.000000
## 29 BE19 Shannon diversity 18.348002 19.482358 1.3704414 16.796342
## 30 BE19 Simpson diversity 9.926195 10.190623 1.0176296 8.196106
## 31 BE2 Species richness 32.000000 34.993088 7.0031376 32.000000
## 32 BE2 Shannon diversity 17.622988 18.391735 0.8519057 16.722030
## 33 BE2 Simpson diversity 13.375657 13.769197 0.7968789 12.207343
## 34 BE20 Species richness 20.000000 44.335570 17.6275515 20.000000
## 35 BE20 Shannon diversity 7.779758 8.839153 1.2375113 6.413675
## 36 BE20 Simpson diversity 3.955282 4.035871 0.5569077 2.944352
## 37 BE21 Species richness 35.000000 41.233289 10.1207419 35.000000
## 38 BE21 Shannon diversity 21.832030 23.108387 1.1842440 20.787312
## 39 BE21 Simpson diversity 15.823077 16.477912 1.2512069 14.025591
## 40 BE22 Species richness 23.000000 25.240302 3.9724913 23.000000
## 41 BE22 Shannon diversity 12.812872 13.553146 0.9651100 11.661565
## 42 BE22 Simpson diversity 8.494949 8.779817 0.9255680 6.965737
## 43 BE23 Species richness 21.000000 26.972973 7.4237047 21.000000
## 44 BE23 Shannon diversity 10.713187 11.393252 0.8416252 9.743697
## 45 BE23 Simpson diversity 6.764205 6.945357 0.7589168 5.457907
## 46 BE24 Species richness 20.000000 20.664530 3.7904139 20.000000
## 47 BE24 Shannon diversity 6.195198 6.407189 0.4942756 5.438427
## 48 BE24 Simpson diversity 3.026866 3.046722 0.2542535 2.548394
## 49 BE25 Species richness 29.000000 32.485232 9.3232774 29.000000
## 50 BE25 Shannon diversity 14.251109 15.343542 1.1229295 13.142641
## 51 BE25 Simpson diversity 8.672070 8.963462 1.0536635 6.898319
## 52 BE26 Species richness 26.000000 28.491803 6.7900095 26.000000
## 53 BE26 Shannon diversity 10.380759 10.906455 0.6723559 9.588661
## 54 BE26 Simpson diversity 5.580719 5.666096 0.4738070 4.737452
## 55 BE27 Species richness 39.000000 55.845833 11.5972124 39.000000
## 56 BE27 Shannon diversity 18.343938 20.174817 1.3572352 17.514685
## 57 BE27 Simpson diversity 11.624552 12.035723 1.0755860 9.927613
## 58 BE28 Species richness 30.000000 35.977528 7.5851618 30.000000
## 59 BE28 Shannon diversity 17.374372 18.650980 1.0965206 16.501839
## 60 BE28 Simpson diversity 12.443533 13.002929 1.0531699 10.938754
## 61 BE29 Species richness 22.000000 22.663923 3.0196310 22.000000
## 62 BE29 Shannon diversity 13.352550 13.998786 0.8492535 12.334279
## 63 BE29 Simpson diversity 9.224965 9.549529 0.9415791 7.704068
## 64 BE3 Species richness 40.000000 44.883333 7.3966963 40.000000
## 65 BE3 Shannon diversity 27.001927 29.282369 1.3112371 26.712392
## 66 BE3 Simpson diversity 20.738004 22.235932 1.4185505 19.455624
## 67 BE30 Species richness 28.000000 43.068139 17.6369228 28.000000
## 68 BE30 Shannon diversity 11.649885 12.687302 1.0661545 10.597678
## 69 BE30 Simpson diversity 7.142742 7.312241 0.7710955 5.800921
## 70 BE4 Species richness 32.000000 44.469880 11.1148353 32.000000
## 71 BE4 Shannon diversity 20.152640 21.220586 0.8002981 19.652031
## 72 BE4 Simpson diversity 15.525557 16.090092 0.8017451 14.518700
## 73 BE5 Species richness 17.000000 19.238693 5.3496250 17.000000
## 74 BE5 Shannon diversity 5.737908 6.031244 0.6534910 4.750425
## 75 BE5 Simpson diversity 2.816772 2.842857 0.2863269 2.281667
## 76 BE6 Species richness 26.000000 36.615385 17.0130650 26.000000
## 77 BE6 Shannon diversity 11.169507 12.249531 1.1972403 9.902983
## 78 BE6 Simpson diversity 5.992244 6.140331 0.7714799 4.628258
## 79 BE7 Species richness 28.000000 34.388148 13.0114490 28.000000
## 80 BE7 Shannon diversity 7.029619 7.275117 0.5209073 6.254157
## 81 BE7 Simpson diversity 3.438355 3.453980 0.2608700 2.942684
## 82 BE8 Species richness 24.000000 25.493151 3.8146585 24.000000
## 83 BE8 Shannon diversity 12.662098 13.446817 1.0081297 11.470919
## 84 BE8 Simpson diversity 7.016971 7.216143 0.8413585 5.567110
## 85 BE9 Species richness 33.000000 48.948387 14.2034058 33.000000
## 86 BE9 Shannon diversity 19.238117 20.809633 1.1592900 18.537467
## 87 BE9 Simpson diversity 13.708987 14.297015 1.1398782 12.062895
## UCL
## 1 27.645742
## 2 5.363306
## 3 2.949107
## 4 62.431882
## 5 18.092284
## 6 10.703555
## 7 28.766959
## 8 14.407887
## 9 9.993574
## 10 77.423223
## 11 28.891348
## 12 21.493839
## 13 85.398974
## 14 30.005784
## 15 20.341787
## 16 71.434142
## 17 40.498099
## 18 31.249678
## 19 34.924920
## 20 14.300824
## 21 8.960395
## 22 40.901312
## 23 26.524765
## 24 22.068400
## 25 109.821205
## 26 24.782012
## 27 12.806171
## 28 51.087265
## 29 22.168373
## 30 12.185141
## 31 48.718985
## 32 20.061439
## 33 15.331051
## 34 78.884936
## 35 11.264631
## 36 5.127390
## 37 61.069578
## 38 25.429463
## 39 18.930232
## 40 33.026242
## 41 15.444727
## 42 10.593896
## 43 41.523167
## 44 13.042807
## 45 8.432806
## 46 28.093605
## 47 7.375952
## 48 3.545050
## 49 50.758520
## 50 17.544444
## 51 11.028604
## 52 41.799977
## 53 12.224248
## 54 6.594741
## 55 78.575952
## 56 22.834949
## 57 14.143833
## 58 50.844172
## 59 20.800121
## 60 15.067104
## 61 28.582291
## 62 15.663292
## 63 11.394990
## 64 59.380592
## 65 31.852347
## 66 25.016240
## 67 77.635872
## 68 14.776927
## 69 8.823560
## 70 66.254556
## 71 22.789142
## 72 17.661483
## 73 29.723766
## 74 7.312063
## 75 3.404048
## 76 69.960379
## 77 14.596079
## 78 7.652404
## 79 59.890120
## 80 8.296076
## 81 3.965276
## 82 32.969744
## 83 15.422715
## 84 8.865175
## 85 76.786551
## 86 23.081800
## 87 16.531135### a little workaround to create 29 colours and dot types ####
library(scico)
library(paletteer)
paletteer::paletteer_c("scico::berlin", 29)## <colors>
## #9EB0FFFF #89ADF4FF #73A9EAFF #5CA4DCFF #4799C9FF #3889B2FF #2F789CFF #286886FF #225771FF #1C475CFF #153748FF #122935FF #0F1C24FF #111216FF #180B09FF #220C01FF #2C0E00FF #381000FF #461300FF #561A05FF #68240FFF #7B321CFF #8E422EFF #A05342FF #B36556FF #C5766BFF #D88881FF #EB9A96FF #FFACACFFmy_palette_inext <- paletteer::paletteer_c("scico::berlin", 29)
# Species accumulation curves
ggiNEXT(birds_inext, type=1, facet.var="None") + # not all plots sampled equally
scale_color_manual(values = my_palette_inext) +
scale_fill_manual(values = my_palette_inext) +
scale_shape_manual(values = seq(1:29))
# get minimum number of individuals from data
min_abund <- min(birds_inext$DataInfo$n)
bird_data2 <- as.data.frame(bird_data)
str(bird_data2)## 'data.frame': 70 obs. of 29 variables:
## $ BE10: int 0 0 0 0 0 0 0 15 0 0 ...
## $ BE11: int 0 0 0 0 1 0 0 21 0 0 ...
## $ BE12: int 0 0 0 0 0 0 0 4 0 0 ...
## $ BE13: int 0 3 0 4 2 0 0 0 1 0 ...
## $ BE14: int 0 0 0 0 2 2 11 0 1 1 ...
## $ BE15: int 0 2 5 5 0 9 1 0 0 1 ...
## $ BE16: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE17: int 0 0 3 0 0 21 0 0 0 3 ...
## $ BE18: int 1 0 4 0 2 1 0 3 0 1 ...
## $ BE19: int 0 0 0 2 0 0 0 12 0 0 ...
## $ BE2 : int 2 0 0 0 1 0 0 0 0 0 ...
## $ BE20: int 0 0 0 0 0 0 0 4 0 0 ...
## $ BE21: int 1 0 0 1 2 0 0 3 0 0 ...
## $ BE22: int 0 0 0 0 1 0 0 5 0 0 ...
## $ BE23: int 0 0 0 0 0 0 0 5 0 0 ...
## $ BE24: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE25: int 0 0 0 0 3 0 0 12 0 0 ...
## $ BE26: int 0 0 0 0 1 0 0 0 0 0 ...
## $ BE27: int 0 0 0 0 1 0 0 19 0 3 ...
## $ BE28: int 0 0 0 1 0 0 0 0 1 0 ...
## $ BE29: int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE3 : int 0 2 0 0 0 0 1 0 0 0 ...
## $ BE30: int 0 0 0 0 1 1 0 0 0 0 ...
## $ BE4 : int 0 0 0 0 4 0 0 0 0 0 ...
## $ BE5 : int 0 0 0 0 0 0 0 5 0 0 ...
## $ BE6 : int 0 0 0 0 0 0 0 2 0 0 ...
## $ BE7 : int 0 0 0 0 0 0 0 37 0 0 ...
## $ BE8 : int 0 0 0 0 0 0 0 0 0 0 ...
## $ BE9 : int 0 0 0 3 0 0 0 0 0 0 ...# use 2x minimum number of individuals for rarefaction/extrapolation
birds_estINEXTsize <- estimateD(bird_data, q = 0, datatype = "abundance", base = "size", level = (min_abund * 2),
conf = 0.95)
birds_estINEXTsize## Assemblage m Method Order.q SC qD qD.LCL qD.UCL
## 1 BE10 298 Extrapolation 0 0.9875504 15.45303 12.59417 18.31189
## 2 BE11 298 Rarefaction 0 0.9812052 29.99164 26.80061 33.18266
## 3 BE12 298 Extrapolation 0 0.9973627 21.47799 18.67330 24.28267
## 4 BE13 298 Rarefaction 0 0.9563662 40.55495 35.52242 45.58749
## 5 BE14 298 Rarefaction 0 0.9539804 43.52956 39.04928 48.00983
## 6 BE15 298 Extrapolation 0 0.9688270 48.44774 40.27615 56.61934
## 7 BE16 298 Rarefaction 0 0.9888200 24.50655 22.36736 26.64574
## 8 BE17 298 Extrapolation 0 0.9999693 31.08237 28.41920 33.74554
## 9 BE18 298 Rarefaction 0 0.9498872 43.66224 37.91330 49.41119
## 10 BE19 298 Rarefaction 0 0.9846972 36.37941 33.31520 39.44361
## 11 BE2 298 Rarefaction 0 0.9765820 29.49552 26.86230 32.12875
## 12 BE20 298 Extrapolation 0 0.9648219 26.07815 17.32827 34.82803
## 13 BE21 298 Rarefaction 0 0.9829719 33.86571 30.36580 37.36562
## 14 BE22 298 Extrapolation 0 0.9912065 23.70803 19.91153 27.50452
## 15 BE23 298 Extrapolation 0 0.9857117 22.22210 18.03177 26.41242
## 16 BE24 298 Rarefaction 0 0.9927384 19.90441 17.56169 22.24713
## 17 BE25 298 Extrapolation 0 0.9824966 30.40233 26.30990 34.49475
## 18 BE26 298 Rarefaction 0 0.9829562 25.88297 23.29899 28.46696
## 19 BE27 298 Rarefaction 0 0.9569143 38.40692 32.91373 43.90011
## 20 BE28 298 Extrapolation 0 0.9800707 30.65641 26.80945 34.50336
## 21 BE29 298 Extrapolation 0 0.9958716 22.32677 20.00876 24.64478
## 22 BE3 298 Extrapolation 0 0.9767625 40.09409 35.95499 44.23319
## 23 BE30 298 Extrapolation 0 0.9622226 29.26520 24.72996 33.80045
## 24 BE4 298 Rarefaction 0 0.9845079 30.43505 27.16713 33.70297
## 25 BE5 298 Extrapolation 0 0.9922946 18.08674 14.79923 21.37424
## 26 BE6 298 Extrapolation 0 0.9723246 28.94929 22.16312 35.73547
## 27 BE7 298 Rarefaction 0 0.9745556 23.25916 20.42447 26.09384
## 28 BE8 298 Extrapolation 0 0.9934025 24.76742 22.06523 27.46961
## 29 BE9 298 Rarefaction 0 0.9737002 32.68743 28.11107 37.26379# extract species richness
birds_est_sprich <- as.data.frame(cbind(site = colnames(bird_data),
sp_rich = birds_estINEXTsize$qD))
birds_est_sprich## site sp_rich
## 1 BE10 15.4530328501637
## 2 BE11 29.9916380379789
## 3 BE12 21.4779853454816
## 4 BE13 40.5549538797391
## 5 BE14 43.5295555469924
## 6 BE15 48.4477427535246
## 7 BE16 24.5065491505327
## 8 BE17 31.0823712907411
## 9 BE18 43.6622413155036
## 10 BE19 36.3794068650737
## 11 BE2 29.4955218592629
## 12 BE20 26.0781501489565
## 13 BE21 33.8657074731005
## 14 BE22 23.7080269811234
## 15 BE23 22.2220973005055
## 16 BE24 19.9044088258824
## 17 BE25 30.4023268778697
## 18 BE26 25.8829734412778
## 19 BE27 38.4069200309924
## 20 BE28 30.6564055680879
## 21 BE29 22.3267691780308
## 22 BE3 40.0940884455696
## 23 BE30 29.2652048160577
## 24 BE4 30.4350475265505
## 25 BE5 18.0867385837243
## 26 BE6 28.949294781448
## 27 BE7 23.2591575105719
## 28 BE8 24.7674210668556
## 29 BE9 32.6874308792799Statistics!!
Question: Does urbanization have an effect on bird diversity?
We are going to run a model with the number of species as response and urbanization variables as explanatory variables.
Load environmental data
env_cov <- read.csv(here("data","data_berlin","animal_data",
"birds_transects_allenvir_100m.csv") )
head(env_cov)## site patch.lu patch.area pop_100m
## 1 BE10 park and green area 4762.0000 240.2320426
## 2 BE11 park and green area 22107.5781 41.9517209
## 3 BE12 park and green area 623.8551 64.4663933
## 4 BE13 park and green area 700876.6900 0.2617629
## 5 BE14 brownfield with meadow, shrubs and trees 1119275.5140 0.1640317
## 6 BE15 farmland 754802.5036 0.2794827
## distance_water impervious_surface light noise open_green temp_cooldown
## 1 887.99534 85.708155200 254.0484 52.66811 0.003755813 -0.4034781
## 2 182.70408 48.086350720 253.5432 61.36624 0.147960262 -0.5058560
## 3 846.25954 56.269183550 253.5924 53.33908 0.116351677 -0.4798068
## 4 89.61534 0.003294742 97.9062 22.78204 0.062367094 -0.7988746
## 5 849.76658 7.314871159 248.0444 35.69318 0.517760575 -0.6104055
## 6 1114.94496 3.692755106 238.8065 62.04909 0.692938283 -0.8771918
## temp_day temp_night tree_cover
## 1 21.85441 13.61666 6.983366
## 2 21.74545 13.03693 22.487329
## 3 21.33945 12.66102 19.374208
## 4 28.82046 16.64645 70.116086
## 5 21.35707 10.84691 36.390875
## 6 30.88368 14.75161 19.789344str(env_cov)## 'data.frame': 29 obs. of 13 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ patch.lu : chr "park and green area" "park and green area" "park and green area" "park and green area" ...
## $ patch.area : num 4762 22108 624 700877 1119276 ...
## $ pop_100m : num 240.232 41.952 64.466 0.262 0.164 ...
## $ distance_water : num 888 182.7 846.3 89.6 849.8 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ light : num 254 253.5 253.6 97.9 248 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...
## $ open_green : num 0.00376 0.14796 0.11635 0.06237 0.51776 ...
## $ temp_cooldown : num -0.403 -0.506 -0.48 -0.799 -0.61 ...
## $ temp_day : num 21.9 21.7 21.3 28.8 21.4 ...
## $ temp_night : num 13.6 13 12.7 16.6 10.8 ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...summary(env_cov)## site patch.lu patch.area pop_100m
## Length:29 Length:29 Min. : 624 Min. : 0.000
## Class :character Class :character 1st Qu.: 22108 1st Qu.: 3.397
## Mode :character Mode :character Median : 332616 Median : 41.952
## Mean :1101702 Mean : 69.344
## 3rd Qu.: 700877 3rd Qu.:118.731
## Max. :6995421 Max. :289.615
## distance_water impervious_surface light noise
## Min. : 89.62 Min. : 0.000 Min. : 97.91 Min. :22.78
## 1st Qu.: 308.95 1st Qu.: 7.315 1st Qu.:238.81 1st Qu.:50.24
## Median : 581.60 Median :48.086 Median :253.54 Median :55.76
## Mean : 676.67 Mean :45.063 Mean :234.06 Mean :52.80
## 3rd Qu.: 894.21 3rd Qu.:69.303 3rd Qu.:254.46 3rd Qu.:60.28
## Max. :1616.58 Max. :89.406 Max. :255.00 Max. :65.45
## open_green temp_cooldown temp_day temp_night
## Min. :0.000000 Min. :-0.9972 Min. :19.27 Min. :10.85
## 1st Qu.:0.004748 1st Qu.:-0.7463 1st Qu.:21.75 1st Qu.:12.71
## Median :0.062367 Median :-0.5619 Median :24.36 Median :13.72
## Mean :0.153202 Mean :-0.6014 Mean :24.53 Mean :14.08
## 3rd Qu.:0.147960 3rd Qu.:-0.4798 3rd Qu.:27.12 3rd Qu.:14.75
## Max. :0.998552 Max. :-0.3755 Max. :30.94 Max. :17.48
## tree_cover
## Min. : 0.1246
## 1st Qu.:14.9442
## Median :24.7570
## Mean :30.7382
## 3rd Qu.:37.6015
## Max. :79.3415We are going to use three variables to define the ubanization gradient: tree cover, imperviousness and noise.
Prepare the data for the model
colnames(env_cov)## [1] "site" "patch.lu" "patch.area"
## [4] "pop_100m" "distance_water" "impervious_surface"
## [7] "light" "noise" "open_green"
## [10] "temp_cooldown" "temp_day" "temp_night"
## [13] "tree_cover"# Put all data together: add environmental variables to birds data
#my_model_data <- left_join(birds_est_sprich, env_cov, by = "site")
my_model_data <- merge(birds_est_sprich,env_cov,by = "site")
#select response and explanatory variables
#my_model_data <- dplyr::select(my_model_data,
# c(site, sp_rich, tree_cover, impervious_surface, noise))
my_model_data <- my_model_data[, c('site', 'sp_rich', 'tree_cover',
'impervious_surface', 'noise')]
str(my_model_data) # do you also have a chr for sp_rich?## 'data.frame': 29 obs. of 5 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ sp_rich : chr "15.4530328501637" "29.9916380379789" "21.4779853454816" "40.5549538797391" ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...my_model_data$sp_rich <- as.numeric(my_model_data$sp_rich)
str(my_model_data)## 'data.frame': 29 obs. of 5 variables:
## $ site : chr "BE10" "BE11" "BE12" "BE13" ...
## $ sp_rich : num 15.5 30 21.5 40.6 43.5 ...
## $ tree_cover : num 6.98 22.49 19.37 70.12 36.39 ...
## $ impervious_surface: num 85.70816 48.08635 56.26918 0.00329 7.31487 ...
## $ noise : num 52.7 61.4 53.3 22.8 35.7 ...Define the model
# explore relationships between variables
ggplot(my_model_data, aes(y = sp_rich, x = tree_cover)) +
geom_point() +
geom_smooth()
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
geom_point() +
geom_smooth()
ggplot(my_model_data, aes(y = sp_rich, x = noise)) +
geom_point() +
geom_smooth()
# build linear regression model
birds_model <- glm(sp_rich ~ tree_cover + impervious_surface + noise,
family = "gaussian",
data = my_model_data)
# View results of the model
summary(birds_model)##
## Call:
## glm(formula = sp_rich ~ tree_cover + impervious_surface + noise,
## family = "gaussian", data = my_model_data)
##
## Deviance Residuals:
## Min 1Q Median 3Q Max
## -8.7059 -5.2982 -0.6035 2.9715 13.6338
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 38.50520 10.13065 3.801 0.000825 ***
## tree_cover -0.04464 0.08261 -0.540 0.593673
## impervious_surface -0.19014 0.05585 -3.405 0.002240 **
## noise 0.02430 0.16490 0.147 0.884030
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## (Dispersion parameter for gaussian family taken to be 43.14488)
##
## Null deviance: 1882.4 on 28 degrees of freedom
## Residual deviance: 1078.6 on 25 degrees of freedom
## AIC: 197.17
##
## Number of Fisher Scoring iterations: 2plot(birds_model)
# bird diversity decreases with increasing urbanisation
# view the regression line through impervious surface only:
ggplot(my_model_data, aes(y = sp_rich, x = impervious_surface)) +
geom_point(size=7,alpha=0.5) +
geom_smooth(method = "lm", se = TRUE, col='red') +
xlab('impervious surface')
PREDICT the model in Berlin
Load environmental rasters
##
## set working directory for maps, e.g. here geoTiffs ##
tree_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","tree_cover_density_2012_100m_3035.tif"))
imperv_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","imperviousness_2012_100m_3035.tif"))
noise_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","noise_daynight_2017_100m_3035.tif"))
water_raster <- rast(here::here("data","data_berlin","geo_raster_current_gtif","water_bodies_2010_100m_3035.tif"))
#put all environmental rasters together for the prediction
#many_rasters <- list(x,x)
## this works
my_env_stack <- rast(list(tree_raster, imperv_raster, noise_raster))
# the raster the same name as the variables in the model
names(my_env_stack) <- c("tree_cover", "impervious_surface", "noise")
# the model is fitted with environmental predictor values between 0 and 100
# e.g. tree cover = 88.5 % in a 100*100 m cell
# check: my_model_data
# However, our rasters do not contain decimals (for PC storage and memory reasons)
# so we need to transform them to decimals before we predict our model
# to the whole of Berlin:
my_env_stack_2 <- my_env_stack/100 # correct values of the rastersPredict the model
sp_rich_pred <- terra::predict(object = my_env_stack_2,
model = birds_model)
sp_rich_pred## class : SpatRaster
## dimensions : 570, 657, 1 (nrow, ncol, nlyr)
## resolution : 100, 100 (x, y)
## extent : 4521040, 4586740, 3243800, 3300800 (xmin, xmax, ymin, ymax)
## coord. ref. : +proj=laea +lat_0=52 +lon_0=10 +x_0=4321000 +y_0=3210000 +ellps=GRS80 +units=m +no_defs
## source(s) : memory
## name : lyr1
## min value : 16.45406
## max value : 40.44094sp_rich_pred[sp_rich_pred < 0] <- 0 # Abundance cannot be < 0
# define colors
my_palette <- c("#440154FF", "#2D708EFF", "#56C667FF", "#DCE318FF", "#FDE725FF")
# plot map
plot(sp_rich_pred, col = my_palette, breaks = c(seq(5, 55, by = 10)))
plot(water_raster, col = "darkslategray1", legend=FALSE, add = TRUE)
# writeRaster(sp_rich_pred, my_output_directory)EXTRA INFO
In iNEXT package also calculates asymptotic diversity metrics. The estimated asymptotes area calculated via the functions
ChaoRichness()for q = 0ChaoShannon()for q = 1EstSimpson()for q = 2
For example, to estimate the species richness
ChaoRichness(spider, datatype = "abundance")## Observed Estimator Est_s.e. 95% Lower 95% Upper
## Girdled 26 43.893 14.306 30.511 96.971
## Logged 37 61.403 18.532 43.502 128.583Exercise
Some exercises.
###
## Diversity Analysis Exercise
# 1. Load the data
## - 1.1. the bird data 'birds_berlin_exercise_planillo2021.csv' and explore it (use head(), str())
## - 1.2. the environmental data 'birds_transects_allenvir_100m.csv' and explore it
# 2. Estimate alpha diversity:
## - 2.1. Choose the diversity index: q = 1 or q = 2
## - 2.2. Rarefy the samples to the appropriate size and estimate the rarefied values
# 3. Predict Hill number 1 or 2 in Berlin
## - 3.1. Choose environmental variables (up to 3)
## - 3.2. Run model with the diversity values and the environmental variables
## - 3.3. Plot the predictions
#~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~#
#### for those who like challenges
# 4. Estimate beta diversity:
## 4.1. Jaccard dissimilarity (for each pair of sites)
## 4.2. Bray-Curtis dissimilarity (for each pair of sites)
## 4.3. Compare the output of both beta-diversity metricsSession Info
Sys.time()## [1] "2023-03-21 15:38:26 CET"#git2r::repository() ## uncomment if you are using GitHub
sessionInfo()## R version 4.2.1 (2022-06-23 ucrt)
## Platform: x86_64-w64-mingw32/x64 (64-bit)
## Running under: Windows 10 x64 (build 19045)
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## Matrix products: default
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## locale:
## [1] LC_COLLATE=English_Germany.utf8 LC_CTYPE=English_Germany.utf8
## [3] LC_MONETARY=English_Germany.utf8 LC_NUMERIC=C
## [5] LC_TIME=C
##
## attached base packages:
## [1] stats4 stats graphics grDevices utils datasets methods
## [8] base
##
## other attached packages:
## [1] paletteer_1.5.0 scico_1.3.1 here_1.0.1 terra_1.7-3
## [5] forcats_0.5.2 stringr_1.5.0 dplyr_1.0.10 purrr_1.0.1
## [9] readr_2.1.3 tidyr_1.3.0 tibble_3.1.8 ggplot2_3.4.0
## [13] tidyverse_1.3.2 sads_0.4.2 bbmle_1.0.25 iNEXT_3.0.0
## [17] vegan_2.6-4 lattice_0.20-45 permute_0.9-7 knitr_1.42
##
## loaded via a namespace (and not attached):
## [1] nlme_3.1-161 fs_1.6.0 lubridate_1.9.1
## [4] httr_1.4.4 rprojroot_2.0.3 GUILDS_1.4.5
## [7] numDeriv_2016.8-1.1 tools_4.2.1 backports_1.4.1
## [10] bslib_0.4.2 utf8_1.2.2 R6_2.5.1
## [13] DBI_1.1.3 mgcv_1.8-41 colorspace_2.1-0
## [16] withr_2.5.0 tidyselect_1.2.0 compiler_4.2.1
## [19] textshaping_0.3.6 cli_3.6.0 rvest_1.0.3
## [22] xml2_1.3.3 prismatic_1.1.1 labeling_0.4.2
## [25] bookdown_0.32 sass_0.4.5 scales_1.2.1
## [28] mvtnorm_1.1-3 systemfonts_1.0.4 digest_0.6.31
## [31] rmarkdown_2.20 pkgconfig_2.0.3 htmltools_0.5.4
## [34] highr_0.10 dbplyr_2.3.0 fastmap_1.1.0
## [37] rlang_1.0.6 readxl_1.4.1 rstudioapi_0.14
## [40] VGAM_1.1-7 farver_2.1.1 jquerylib_0.1.4
## [43] generics_0.1.3 jsonlite_1.8.4 googlesheets4_1.0.1
## [46] magrittr_2.0.3 Matrix_1.5-3 Rcpp_1.0.10
## [49] munsell_0.5.0 fansi_1.0.4 lifecycle_1.0.3
## [52] stringi_1.7.12 yaml_2.3.7 MASS_7.3-58.2
## [55] plyr_1.8.8 grid_4.2.1 parallel_4.2.1
## [58] crayon_1.5.2 bdsmatrix_1.3-6 haven_2.5.1
## [61] splines_4.2.1 hms_1.1.2 pillar_1.8.1
## [64] codetools_0.2-18 reshape2_1.4.4 reprex_2.0.2
## [67] glue_1.6.2 evaluate_0.20 modelr_0.1.10
## [70] vctrs_0.5.2 rmdformats_1.0.4 tzdb_0.3.0
## [73] cellranger_1.1.0 gtable_0.3.1 rematch2_2.1.2
## [76] assertthat_0.2.1 cachem_1.0.6 xfun_0.36
## [79] broom_1.0.3 ragg_1.2.5 googledrive_2.0.0
## [82] gargle_1.2.1 poilog_0.4.2 cluster_2.1.4
## [85] timechange_0.2.0 ellipsis_0.3.2